GCD of 456, 996, 422, 476 Calculator

Given Input numbers are 456, 996, 422, 476

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

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 456, 996, 422, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 996, 422, 476 is 2.

Therefore, GCD of numbers 456, 996, 422, 476 is 2

Given Input Data is 456, 996, 422, 476

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

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 422 is 2 x 211

Prime Factorization of 476 is 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(456, 996) = 37848

GCD(456, 996) = ( 456 x 996 ) / 37848

GCD(456, 996) = 454176 / 37848

GCD(456, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 422

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

LCM(12, 422) = 2532

GCD(12, 422) = ( 12 x 422 ) / 2532

GCD(12, 422) = 5064 / 2532

GCD(12, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 476

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

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

GCD(2, 476) = 952 / 476

GCD(2, 476) = 2

GCD of 456, 996, 422, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 963, 308, 479
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• GCD of 776, 458, 754, 270

1. What is the GCD of 456, 996, 422, 476?

GCD of 456, 996, 422, 476 is 2

2. Where do I get the detailed procedure to find GCD of 456, 996, 422, 476?

You can find a detailed procedure to find GCD of 456, 996, 422, 476 on our page.

3. How to find GCD of 456, 996, 422, 476 on a calculator?

You can find the GCD of 456, 996, 422, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.