GCD of 972, 759, 251, 949 Calculator

Given Input numbers are 972, 759, 251, 949

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 972, 759, 251, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 759, 251, 949 is 1.

Therefore, GCD of numbers 972, 759, 251, 949 is 1

Given Input Data is 972, 759, 251, 949

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 251 is 251

Prime Factorization of 949 is 13 x 73

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(972, 759) = 245916

GCD(972, 759) = ( 972 x 759 ) / 245916

GCD(972, 759) = 737748 / 245916

GCD(972, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 251

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

LCM(3, 251) = 753

GCD(3, 251) = ( 3 x 251 ) / 753

GCD(3, 251) = 753 / 753

GCD(3, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 972, 759, 251, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 832, 584, 900
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• GCD of 433, 137, 716, 607
• GCD of 176, 162, 601, 182

1. What is the GCD of 972, 759, 251, 949?

GCD of 972, 759, 251, 949 is 1

2. Where do I get the detailed procedure to find GCD of 972, 759, 251, 949?

You can find a detailed procedure to find GCD of 972, 759, 251, 949 on our page.

3. How to find GCD of 972, 759, 251, 949 on a calculator?

You can find the GCD of 972, 759, 251, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.