GCD of 456, 791, 642 Calculator

Given Input numbers are 456, 791, 642

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 456, 791, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 791, 642 is 1.

Therefore, GCD of numbers 456, 791, 642 is 1

Given Input Data is 456, 791, 642

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 791 is 7 x 113

Prime Factorization of 642 is 2 x 3 x 107

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(456, 791) = 360696

GCD(456, 791) = ( 456 x 791 ) / 360696

GCD(456, 791) = 360696 / 360696

GCD(456, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 456, 791, 642 is 1

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1. What is the GCD of 456, 791, 642?

GCD of 456, 791, 642 is 1

2. Where do I get the detailed procedure to find GCD of 456, 791, 642?

You can find a detailed procedure to find GCD of 456, 791, 642 on our page.

3. How to find GCD of 456, 791, 642 on a calculator?

You can find the GCD of 456, 791, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.