GCD of 660, 932, 924, 687 Calculator

Given Input numbers are 660, 932, 924, 687

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

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 660, 932, 924, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 932, 924, 687 is 1.

Therefore, GCD of numbers 660, 932, 924, 687 is 1

Given Input Data is 660, 932, 924, 687

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

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 687 is 3 x 229

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(660, 932) = 153780

GCD(660, 932) = ( 660 x 932 ) / 153780

GCD(660, 932) = 615120 / 153780

GCD(660, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 924

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

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

GCD(4, 924) = 3696 / 924

GCD(4, 924) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

GCD of 660, 932, 924, 687 is 1

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1. What is the GCD of 660, 932, 924, 687?

GCD of 660, 932, 924, 687 is 1

2. Where do I get the detailed procedure to find GCD of 660, 932, 924, 687?

You can find a detailed procedure to find GCD of 660, 932, 924, 687 on our page.

3. How to find GCD of 660, 932, 924, 687 on a calculator?

You can find the GCD of 660, 932, 924, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.