GCD of 291, 456, 122 Calculator

Given Input numbers are 291, 456, 122

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 291, 456, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 456, 122 is 1.

Therefore, GCD of numbers 291, 456, 122 is 1

Given Input Data is 291, 456, 122

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

Prime Factorization of 291 is 3 x 97

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

Prime Factorization of 122 is 2 x 61

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(291, 456) = 44232

GCD(291, 456) = ( 291 x 456 ) / 44232

GCD(291, 456) = 132696 / 44232

GCD(291, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 122

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

LCM(3, 122) = 366

GCD(3, 122) = ( 3 x 122 ) / 366

GCD(3, 122) = 366 / 366

GCD(3, 122) = 1

GCD of 291, 456, 122 is 1

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1. What is the GCD of 291, 456, 122?

GCD of 291, 456, 122 is 1

2. Where do I get the detailed procedure to find GCD of 291, 456, 122?

You can find a detailed procedure to find GCD of 291, 456, 122 on our page.

3. How to find GCD of 291, 456, 122 on a calculator?

You can find the GCD of 291, 456, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.