GCD of 957, 556, 49, 120 Calculator

Given Input numbers are 957, 556, 49, 120

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 957, 556, 49, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 556, 49, 120 is 1.

Therefore, GCD of numbers 957, 556, 49, 120 is 1

Given Input Data is 957, 556, 49, 120

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 49 is 7 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(957, 556) = 532092

GCD(957, 556) = ( 957 x 556 ) / 532092

GCD(957, 556) = 532092 / 532092

GCD(957, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 957, 556, 49, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 411, 26, 819
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• GCD of 827, 979, 76, 595
• GCD of 221, 797, 27, 169

1. What is the GCD of 957, 556, 49, 120?

GCD of 957, 556, 49, 120 is 1

2. Where do I get the detailed procedure to find GCD of 957, 556, 49, 120?

You can find a detailed procedure to find GCD of 957, 556, 49, 120 on our page.

3. How to find GCD of 957, 556, 49, 120 on a calculator?

You can find the GCD of 957, 556, 49, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.