GCD of 906, 975, 973, 400 Calculator

Given Input numbers are 906, 975, 973, 400

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 906, 975, 973, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 975, 973, 400 is 1.

Therefore, GCD of numbers 906, 975, 973, 400 is 1

Given Input Data is 906, 975, 973, 400

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 973 is 7 x 139

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 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(906, 975) = 294450

GCD(906, 975) = ( 906 x 975 ) / 294450

GCD(906, 975) = 883350 / 294450

GCD(906, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 973

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

LCM(3, 973) = 2919

GCD(3, 973) = ( 3 x 973 ) / 2919

GCD(3, 973) = 2919 / 2919

GCD(3, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 906, 975, 973, 400 is 1

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1. What is the GCD of 906, 975, 973, 400?

GCD of 906, 975, 973, 400 is 1

2. Where do I get the detailed procedure to find GCD of 906, 975, 973, 400?

You can find a detailed procedure to find GCD of 906, 975, 973, 400 on our page.

3. How to find GCD of 906, 975, 973, 400 on a calculator?

You can find the GCD of 906, 975, 973, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.