GCD of 719, 629, 756, 956 Calculator

Given Input numbers are 719, 629, 756, 956

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

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 719, 629, 756, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 629, 756, 956 is 1.

Therefore, GCD of numbers 719, 629, 756, 956 is 1

Given Input Data is 719, 629, 756, 956

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

Prime Factorization of 719 is 719

Prime Factorization of 629 is 17 x 37

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

Prime Factorization of 956 is 2 x 2 x 239

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(719, 629) = 452251

GCD(719, 629) = ( 719 x 629 ) / 452251

GCD(719, 629) = 452251 / 452251

GCD(719, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 719, 629, 756, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 826, 726, 954
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• GCD of 578, 884, 819, 132

1. What is the GCD of 719, 629, 756, 956?

GCD of 719, 629, 756, 956 is 1

2. Where do I get the detailed procedure to find GCD of 719, 629, 756, 956?

You can find a detailed procedure to find GCD of 719, 629, 756, 956 on our page.

3. How to find GCD of 719, 629, 756, 956 on a calculator?

You can find the GCD of 719, 629, 756, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.