GCD of 359, 972, 949, 124 Calculator

Given Input numbers are 359, 972, 949, 124

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 949

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

1, 13, 73, 949

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 359, 972, 949, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 972, 949, 124 is 1.

Therefore, GCD of numbers 359, 972, 949, 124 is 1

Given Input Data is 359, 972, 949, 124

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

Prime Factorization of 359 is 359

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 124 is 2 x 2 x 31

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(359, 972) = 348948

GCD(359, 972) = ( 359 x 972 ) / 348948

GCD(359, 972) = 348948 / 348948

GCD(359, 972) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 359, 972, 949, 124 is 1

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1. What is the GCD of 359, 972, 949, 124?

GCD of 359, 972, 949, 124 is 1

2. Where do I get the detailed procedure to find GCD of 359, 972, 949, 124?

You can find a detailed procedure to find GCD of 359, 972, 949, 124 on our page.

3. How to find GCD of 359, 972, 949, 124 on a calculator?

You can find the GCD of 359, 972, 949, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.