GCD of 461, 121, 637, 642 Calculator

Given Input numbers are 461, 121, 637, 642

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

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 461, 121, 637, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 121, 637, 642 is 1.

Therefore, GCD of numbers 461, 121, 637, 642 is 1

Given Input Data is 461, 121, 637, 642

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

Prime Factorization of 461 is 461

Prime Factorization of 121 is 11 x 11

Prime Factorization of 637 is 7 x 7 x 13

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(461, 121) = 55781

GCD(461, 121) = ( 461 x 121 ) / 55781

GCD(461, 121) = 55781 / 55781

GCD(461, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

Step3:

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 461, 121, 637, 642 is 1

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1. What is the GCD of 461, 121, 637, 642?

GCD of 461, 121, 637, 642 is 1

2. Where do I get the detailed procedure to find GCD of 461, 121, 637, 642?

You can find a detailed procedure to find GCD of 461, 121, 637, 642 on our page.

3. How to find GCD of 461, 121, 637, 642 on a calculator?

You can find the GCD of 461, 121, 637, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.