GCD of 916, 664, 813, 812 Calculator

Given Input numbers are 916, 664, 813, 812

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 916, 664, 813, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 664, 813, 812 is 1.

Therefore, GCD of numbers 916, 664, 813, 812 is 1

Given Input Data is 916, 664, 813, 812

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 813 is 3 x 271

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(916, 664) = 152056

GCD(916, 664) = ( 916 x 664 ) / 152056

GCD(916, 664) = 608224 / 152056

GCD(916, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 813

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

LCM(4, 813) = 3252

GCD(4, 813) = ( 4 x 813 ) / 3252

GCD(4, 813) = 3252 / 3252

GCD(4, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 916, 664, 813, 812 is 1

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1. What is the GCD of 916, 664, 813, 812?

GCD of 916, 664, 813, 812 is 1

2. Where do I get the detailed procedure to find GCD of 916, 664, 813, 812?

You can find a detailed procedure to find GCD of 916, 664, 813, 812 on our page.

3. How to find GCD of 916, 664, 813, 812 on a calculator?

You can find the GCD of 916, 664, 813, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.