...number greater than d can measure a and b ; that is, d is the greatest common measure of a and b. Hence, to find the greatest common measure of two numbers, divide the greater by the less, and the last divisor by the last remainder, until there is no remainder : the last divisor is the measure...

...he know nothing of algebra ! In finding the greatest common measure of two numbers, the rule says, Divide the greater by the less, and that divisor by the remainder, continue this operation until nothing remains. Now, I ask, what reasoning is there about this ? Of...

...successive divisions ; therefore, we have the following, — GENERAL RULE. 16. Divide the greater number by the less, and that divisor by the remainder ; and so on ; always dividing the last divisor by the last remainder, till nothing remains ; the last divisor is...

...; however, that the pupil may judge for himself, I will F explain the reason of the following rule to find the greatest common measure of two numbers. Divide the greater by the less ; then divide the divisor by the remainder, and so on, dividing always the last divisor by the last...

...and 168 = 7 X 24 = 7x3x8; therefore 7 X 3 = 21, is the greatest common measure of 63 and 168. Hence, to find the greatest common measure of two numbers, divide the greater by the less, and then the divisor by the remainder ; repeat this operation till an exact divisor is obtained ; this...

...effected in the following manner : — 477)1749(3 1431 ~318)477(1 318 159)318(2 318 114. Therefore, to find the greatest common measure of two numbers, divide the greater number by the less ; if there is a remainder, divide the less by it; continue dividing the last divisor...

...successive divisions ; therefore, we have the following, — GENERAL RULE. 16. Divide the greater number by the less, and that divisor by the remainder, and so on ; always dividing the last divisor by the last remainder, till nothing remains ; the last divisor is...

...finding the greatest common divisor sometimes practised ; it is as follows : I. Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain. The last divisor will...

...might be seen to be the GCM of 36 and 84. But if not, the following rule must be adopted. EULE. — To find the greatest common measure of two numbers. — Divide the greater by the less, and then the divisor by the remainder loft, and so on until there is no remainder : the last divisor will...

...of 14 and 35? Ans. 7. 3. What is the GCD of 9 and 24? Ans. 3. Rule II.— Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remains; the last divisor will...