GCD of 656, 756, 763, 683 Calculator

Given Input numbers are 656, 756, 763, 683

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 656, 756, 763, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 756, 763, 683 is 1.

Therefore, GCD of numbers 656, 756, 763, 683 is 1

Given Input Data is 656, 756, 763, 683

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 763 is 7 x 109

Prime Factorization of 683 is 683

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(656, 756) = 123984

GCD(656, 756) = ( 656 x 756 ) / 123984

GCD(656, 756) = 495936 / 123984

GCD(656, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 763

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

LCM(4, 763) = 3052

GCD(4, 763) = ( 4 x 763 ) / 3052

GCD(4, 763) = 3052 / 3052

GCD(4, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 656, 756, 763, 683 is 1

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• GCD of 771, 221, 757, 726
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1. What is the GCD of 656, 756, 763, 683?

GCD of 656, 756, 763, 683 is 1

2. Where do I get the detailed procedure to find GCD of 656, 756, 763, 683?

You can find a detailed procedure to find GCD of 656, 756, 763, 683 on our page.

3. How to find GCD of 656, 756, 763, 683 on a calculator?

You can find the GCD of 656, 756, 763, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.