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, 651, 53, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 651, 53, 908 is 1
GCD(132, 651, 53, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 651, 53, 908 is 1
GCD(132, 651, 53, 908) = 1
Given Input numbers are 132, 651, 53, 908
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 132, 651, 53, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 651, 53, 908 is 1.
Therefore, GCD of numbers 132, 651, 53, 908 is 1
Given Input Data is 132, 651, 53, 908
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 651 is 3 x 7 x 31
Prime Factorization of 53 is 53
Prime Factorization of 908 is 2 x 2 x 227
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, 651) = 28644
GCD(132, 651) = ( 132 x 651 ) / 28644
GCD(132, 651) = 85932 / 28644
GCD(132, 651) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 53) = 159
GCD(3, 53) = ( 3 x 53 ) / 159
GCD(3, 53) = 159 / 159
GCD(3, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 132, 651, 53, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 651, 53, 908?
GCD of 132, 651, 53, 908 is 1
2. Where do I get the detailed procedure to find GCD of 132, 651, 53, 908?
You can find a detailed procedure to find GCD of 132, 651, 53, 908 on our page.
3. How to find GCD of 132, 651, 53, 908 on a calculator?
You can find the GCD of 132, 651, 53, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.