GCD of 906, 167, 76, 456 Calculator

Given Input numbers are 906, 167, 76, 456

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 906, 167, 76, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 167, 76, 456 is 1.

Therefore, GCD of numbers 906, 167, 76, 456 is 1

Given Input Data is 906, 167, 76, 456

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 167 is 167

Prime Factorization of 76 is 2 x 2 x 19

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(906, 167) = 151302

GCD(906, 167) = ( 906 x 167 ) / 151302

GCD(906, 167) = 151302 / 151302

GCD(906, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 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 906, 167, 76, 456 is 1

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1. What is the GCD of 906, 167, 76, 456?

GCD of 906, 167, 76, 456 is 1

2. Where do I get the detailed procedure to find GCD of 906, 167, 76, 456?

You can find a detailed procedure to find GCD of 906, 167, 76, 456 on our page.

3. How to find GCD of 906, 167, 76, 456 on a calculator?

You can find the GCD of 906, 167, 76, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.