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 numbers 132, 220, 781, 564 is 1
GCD(132, 220, 781, 564) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.