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" Generalising this operation, we have the common rule for finding the greatest common measure of any two numbers : — divide the greater by the less, and the divisor by the remainder continually till nothing remains, and the last divisor is the greatest... "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Page 138
by Robert Mudie - 1836 - 496 pages
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...fraction. PROBLEM I. To find the greatest common measure in two or more numbers. I. If there are only two numbers, divide the greater by the less, and the divisor by the remainder, and proceed in. this manner till nothing remains, then will the last divisor bo the greatest common...
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The Arithmetical Manual

Samuel Read Hall - Arithmetic - 1832 - 294 pages
...143, it will also measure 13)65(5 637 = 143 X 4 + 65. Hence 65 we deduce the following RULE. To find the greatest common measure of any two numbers, divide the greater by the less, and the less by the remainder of the first division ; then this remainder by the remainder of the second division,...
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A system of practical arithmetic, comprehending numerous rules and examples ...

Samuel YOUNG (of Manchester.) - 1833 - 272 pages
...Measure or Divisor of any given fraction, or of any two given numbers. — Divide the greater term by the less, and the Divisor by the Remainder continually, till nothing remains. The last Divisor is the greatest Common Measure. Reduce }_|J, Ty5, 0~^V0, f iff, fWV, ffb, Aft, T7o6g8i>...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...is a common factor, or measure, or divisor of 8172 and 6354 ; and it is the 138 CONTINUED FRACTIONS. greatest number that can be a measure of them both...example were the ratio 6354 : 8172, or 6354 the fraction r-=r, the lowest term would be 353:454, or 81/2 oto the fraction — ; and if they are tried by the...
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Elements of arithmetic, with numerous examples

Richard Mosley - Arithmetic - 1836 - 164 pages
...measure, bat it is not the greatest. To find the greatest common measure of two numbers. RULE. — Divide the greater by the less, and the divisor by the remainder, and so on till nothing remains. The last divisor is the greatest common measure. Thus, to find the...
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...same whatever be the fraction proposed, the steps above taken suggest the following general rule : Divide the greater by the less, and the divisor by the remainder continually, until there is no remainder; the last divisor is the factor required. 8 ARITHMETIC. Ex. 1. Find the...
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A Treatise of Arithmetic: Designed for the Use of the Elementary Schools ...

Arithmetic - 1843 - 142 pages
...lowest terms. RULE. Divide both terras by their greatest common measure. This measure is got by dividing the greater by the less, and the divisor by the remainder continually, and the divisor, which leaves no remainder is the measure required by which to divide both terms. Or...
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Principles of Architecture: Comprising Fundamental Rules of the Art, with ...

Peter Nicholson, Joseph Gwilt - Architectural drawing Technique - 1848 - 750 pages
...fraction. PROBLEM I. To find the greatest common measure i/i tico or more numbers. 1 . If there are only two numbers, divide the greater by the less, and the divisor by the remainder, and proceed in this manner till nothing remains, then will the last divisor be the greatest common...
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Arithmetic for the use of Schools. Designed to assist Candidates preparing ...

W. M. LUPTON - 1867 - 210 pages
...reducing fractions to their lowest terms. To find the greatest common measure of two numbers. RULE. — Divide the greater by the less and the divisor by the remainder, and so on continually till there is no remainder. The last divisor will be the G. С. М. The reason...
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Arithmetic. [With] Key

Montagu H. Foster - 1881 - 182 pages
...common measures are 2, 3, 6, and the greatest common measure is 6. Tofind the greatest common measure of two numbers. Divide the greater by the less, and the divisor by the remainder, and so on until nothing remains. The last divisor is the greatest common measure. If there are more...
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