GCD of 422, 132, 57, 541 Calculator

Given Input numbers are 422, 132, 57, 541

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 422, 132, 57, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 132, 57, 541 is 1.

Therefore, GCD of numbers 422, 132, 57, 541 is 1

Given Input Data is 422, 132, 57, 541

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 541 is 541

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(422, 132) = 27852

GCD(422, 132) = ( 422 x 132 ) / 27852

GCD(422, 132) = 55704 / 27852

GCD(422, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 422, 132, 57, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 845, 34, 114
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• GCD of 679, 392, 65, 984
• GCD of 988, 886, 73, 532

1. What is the GCD of 422, 132, 57, 541?

GCD of 422, 132, 57, 541 is 1

2. Where do I get the detailed procedure to find GCD of 422, 132, 57, 541?

You can find a detailed procedure to find GCD of 422, 132, 57, 541 on our page.

3. How to find GCD of 422, 132, 57, 541 on a calculator?

You can find the GCD of 422, 132, 57, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.