GCD of 957, 149, 732, 456 Calculator

Given Input numbers are 957, 149, 732, 456

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 957, 149, 732, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 149, 732, 456 is 1.

Therefore, GCD of numbers 957, 149, 732, 456 is 1

Given Input Data is 957, 149, 732, 456

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 149 is 149

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 149) = 142593

GCD(957, 149) = ( 957 x 149 ) / 142593

GCD(957, 149) = 142593 / 142593

GCD(957, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 957, 149, 732, 456 is 1

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1. What is the GCD of 957, 149, 732, 456?

GCD of 957, 149, 732, 456 is 1

2. Where do I get the detailed procedure to find GCD of 957, 149, 732, 456?

You can find a detailed procedure to find GCD of 957, 149, 732, 456 on our page.

3. How to find GCD of 957, 149, 732, 456 on a calculator?

You can find the GCD of 957, 149, 732, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.