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, 660, 118, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 660, 118, 889 is 1
GCD(132, 660, 118, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 660, 118, 889 is 1
GCD(132, 660, 118, 889) = 1
Given Input numbers are 132, 660, 118, 889
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 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 132, 660, 118, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 660, 118, 889 is 1.
Therefore, GCD of numbers 132, 660, 118, 889 is 1
Given Input Data is 132, 660, 118, 889
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 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 118 is 2 x 59
Prime Factorization of 889 is 7 x 127
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, 660) = 660
GCD(132, 660) = ( 132 x 660 ) / 660
GCD(132, 660) = 87120 / 660
GCD(132, 660) = 132
Step2:
Here we consider the GCD from the above i.e. 132 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(132, 118) = 7788
GCD(132, 118) = ( 132 x 118 ) / 7788
GCD(132, 118) = 15576 / 7788
GCD(132, 118) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 889) = 1778
GCD(2, 889) = ( 2 x 889 ) / 1778
GCD(2, 889) = 1778 / 1778
GCD(2, 889) = 1
GCD of 132, 660, 118, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 660, 118, 889?
GCD of 132, 660, 118, 889 is 1
2. Where do I get the detailed procedure to find GCD of 132, 660, 118, 889?
You can find a detailed procedure to find GCD of 132, 660, 118, 889 on our page.
3. How to find GCD of 132, 660, 118, 889 on a calculator?
You can find the GCD of 132, 660, 118, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.