GCD of 772, 992, 164, 456 Calculator

Given Input numbers are 772, 992, 164, 456

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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 772, 992, 164, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 992, 164, 456 is 4.

Therefore, GCD of numbers 772, 992, 164, 456 is 4

Given Input Data is 772, 992, 164, 456

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 164 is 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(772, 992) = 191456

GCD(772, 992) = ( 772 x 992 ) / 191456

GCD(772, 992) = 765824 / 191456

GCD(772, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 164

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

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

GCD(4, 164) = 656 / 164

GCD(4, 164) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 456

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

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

GCD(4, 456) = 1824 / 456

GCD(4, 456) = 4

GCD of 772, 992, 164, 456 is 4

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1. What is the GCD of 772, 992, 164, 456?

GCD of 772, 992, 164, 456 is 4

2. Where do I get the detailed procedure to find GCD of 772, 992, 164, 456?

You can find a detailed procedure to find GCD of 772, 992, 164, 456 on our page.

3. How to find GCD of 772, 992, 164, 456 on a calculator?

You can find the GCD of 772, 992, 164, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.