GCD of 996, 759, 956, 755 Calculator

Given Input numbers are 996, 759, 956, 755

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 996, 759, 956, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 759, 956, 755 is 1.

Therefore, GCD of numbers 996, 759, 956, 755 is 1

Given Input Data is 996, 759, 956, 755

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 755 is 5 x 151

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(996, 759) = 251988

GCD(996, 759) = ( 996 x 759 ) / 251988

GCD(996, 759) = 755964 / 251988

GCD(996, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 956

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

LCM(3, 956) = 2868

GCD(3, 956) = ( 3 x 956 ) / 2868

GCD(3, 956) = 2868 / 2868

GCD(3, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 996, 759, 956, 755 is 1

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1. What is the GCD of 996, 759, 956, 755?

GCD of 996, 759, 956, 755 is 1

2. Where do I get the detailed procedure to find GCD of 996, 759, 956, 755?

You can find a detailed procedure to find GCD of 996, 759, 956, 755 on our page.

3. How to find GCD of 996, 759, 956, 755 on a calculator?

You can find the GCD of 996, 759, 956, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.