GCD of 680, 917, 72, 660 Calculator

Given Input numbers are 680, 917, 72, 660

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 680, 917, 72, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 917, 72, 660 is 1.

Therefore, GCD of numbers 680, 917, 72, 660 is 1

Given Input Data is 680, 917, 72, 660

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 917 is 7 x 131

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(680, 917) = 623560

GCD(680, 917) = ( 680 x 917 ) / 623560

GCD(680, 917) = 623560 / 623560

GCD(680, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 680, 917, 72, 660 is 1

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1. What is the GCD of 680, 917, 72, 660?

GCD of 680, 917, 72, 660 is 1

2. Where do I get the detailed procedure to find GCD of 680, 917, 72, 660?

You can find a detailed procedure to find GCD of 680, 917, 72, 660 on our page.

3. How to find GCD of 680, 917, 72, 660 on a calculator?

You can find the GCD of 680, 917, 72, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.