GCD of 132, 220, 781, 564 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 132, 220, 781, 564 i.e. 1 largest integer that divides all the numbers equally.

GCD of 132, 220, 781, 564 is 1

GCD(132, 220, 781, 564) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 132, 220, 781, 564 is 1

GCD(132, 220, 781, 564) = 1

GCD of 132,220,781,564 Calculator

GCDof 132,220,781,564 is 1

Given Input numbers are 132, 220, 781, 564

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

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 132, 220, 781, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 220, 781, 564 is 1.

Therefore, GCD of numbers 132, 220, 781, 564 is 1

Finding GCD of 132, 220, 781, 564 using Prime Factorization

Given Input Data is 132, 220, 781, 564

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

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 781 is 11 x 71

Prime Factorization of 564 is 2 x 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 132, 220, 781, 564 using LCM Formula

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(132, 220) = 660

GCD(132, 220) = ( 132 x 220 ) / 660

GCD(132, 220) = 29040 / 660

GCD(132, 220) = 44


Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 781

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

LCM(44, 781) = 3124

GCD(44, 781) = ( 44 x 781 ) / 3124

GCD(44, 781) = 34364 / 3124

GCD(44, 781) = 11


Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 564

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

LCM(11, 564) = 6204

GCD(11, 564) = ( 11 x 564 ) / 6204

GCD(11, 564) = 6204 / 6204

GCD(11, 564) = 1

GCD of 132, 220, 781, 564 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 132, 220, 781, 564

1. What is the GCD of 132, 220, 781, 564?

GCD of 132, 220, 781, 564 is 1


2. Where do I get the detailed procedure to find GCD of 132, 220, 781, 564?

You can find a detailed procedure to find GCD of 132, 220, 781, 564 on our page.


3. How to find GCD of 132, 220, 781, 564 on a calculator?

You can find the GCD of 132, 220, 781, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.