GCD of 402, 875, 456, 956 Calculator

Given Input numbers are 402, 875, 456, 956

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

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

Divisors of 956

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

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 402, 875, 456, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 875, 456, 956 is 1.

Therefore, GCD of numbers 402, 875, 456, 956 is 1

Given Input Data is 402, 875, 456, 956

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 875 is 5 x 5 x 5 x 7

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

Prime Factorization of 956 is 2 x 2 x 239

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(402, 875) = 351750

GCD(402, 875) = ( 402 x 875 ) / 351750

GCD(402, 875) = 351750 / 351750

GCD(402, 875) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 402, 875, 456, 956 is 1

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1. What is the GCD of 402, 875, 456, 956?

GCD of 402, 875, 456, 956 is 1

2. Where do I get the detailed procedure to find GCD of 402, 875, 456, 956?

You can find a detailed procedure to find GCD of 402, 875, 456, 956 on our page.

3. How to find GCD of 402, 875, 456, 956 on a calculator?

You can find the GCD of 402, 875, 456, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.