GCD of 756, 337, 22, 658 Calculator

Given Input numbers are 756, 337, 22, 658

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

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 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 756, 337, 22, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 337, 22, 658 is 1.

Therefore, GCD of numbers 756, 337, 22, 658 is 1

Given Input Data is 756, 337, 22, 658

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

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

Prime Factorization of 337 is 337

Prime Factorization of 22 is 2 x 11

Prime Factorization of 658 is 2 x 7 x 47

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(756, 337) = 254772

GCD(756, 337) = ( 756 x 337 ) / 254772

GCD(756, 337) = 254772 / 254772

GCD(756, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 756, 337, 22, 658 is 1

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• GCD of 539, 101, 97, 931
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• GCD of 319, 998, 82, 222

1. What is the GCD of 756, 337, 22, 658?

GCD of 756, 337, 22, 658 is 1

2. Where do I get the detailed procedure to find GCD of 756, 337, 22, 658?

You can find a detailed procedure to find GCD of 756, 337, 22, 658 on our page.

3. How to find GCD of 756, 337, 22, 658 on a calculator?

You can find the GCD of 756, 337, 22, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.