1. Greatest Common Divisor

2. Greatest Common Divisor
385
294
= 1 R 91

3. Greatest Common Divisor
385
294
= 1 R in other words we need gcd of
and 294

4. Greatest Common Divisor
385
294
= 1 R in other words we need gcd of
and 294
But this is the same as the gcd of
91 and 294 since if g factors 385
and 294 then (91+294)/g is an int
and 294/g is an int so
(91+294)/g – 294/g is an int and
g factors 91 as well.

5. Greatest Common Divisor
385
294
m=294 (was n)
n= (was R)

6. Greatest Common Divisor
385
294 91
= 3 R 21

7. Greatest Common Divisor
385
294 91
m= 91 (was n)
n= (was R)

8. Greatest Common Divisor
385
294 91
m= 91
n= 21
= 4 R 7

9. Greatest Common Divisor
385
294 91 21
m= 21 (was n)
n= (was R)

10. Greatest Common Divisor
385
294 91 21
m= 21
n= 7
= 3 R 0

11. Greatest Common Divisor
Therefore, 7 is the gcd of 385 and 294!
385
294 91 21 7