GCD of 53, 421, 664, 132 Calculator

Given Input numbers are 53, 421, 664, 132

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 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

Greatest Common Divisior

We found the divisors of 53, 421, 664, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 421, 664, 132 is 1.

Therefore, GCD of numbers 53, 421, 664, 132 is 1

Given Input Data is 53, 421, 664, 132

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

Prime Factorization of 53 is 53

Prime Factorization of 421 is 421

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

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

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(53, 421) = 22313

GCD(53, 421) = ( 53 x 421 ) / 22313

GCD(53, 421) = 22313 / 22313

GCD(53, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 53, 421, 664, 132 is 1

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• GCD of 80, 587, 656, 500
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• GCD of 99, 400, 306, 908

1. What is the GCD of 53, 421, 664, 132?

GCD of 53, 421, 664, 132 is 1

2. Where do I get the detailed procedure to find GCD of 53, 421, 664, 132?

You can find a detailed procedure to find GCD of 53, 421, 664, 132 on our page.

3. How to find GCD of 53, 421, 664, 132 on a calculator?

You can find the GCD of 53, 421, 664, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.