17
102/17 = 6
85/17 = 5
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17 is the largest number that evenly divides both 102 and 85.
102 cm. 85% of 120 cm = 102 cm = 85% * 120 = 85%/100% * 120 = 0.85 * 120 = 102
102/120=.85 x 100=85%
Divide the larger number by the smaller one and then replace the larger by the remainder. Repeat until a remainder is 0 or both numbers are 1. In the first case, the non-zero number is the GCD, in the other case, the numbers are coprme: GCD = 1. Thus GCD(85, 102) 102 = 1*85 + R = 17 so GCD(85, 17) 85 = 5*17 + R = 0 so GCD(0, 17) therefore 17. = GCD[85, (102-85)] = GCD(85, 17)
The Greatest Common Divisor of 85, 102 is 17.