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 931, 116, 889, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 116, 889, 753 is 1
GCD(931, 116, 889, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 116, 889, 753 is 1
GCD(931, 116, 889, 753) = 1
Given Input numbers are 931, 116, 889, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 931, 116, 889, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 116, 889, 753 is 1.
Therefore, GCD of numbers 931, 116, 889, 753 is 1
Given Input Data is 931, 116, 889, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 889 is 7 x 127
Prime Factorization of 753 is 3 x 251
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(931, 116) = 107996
GCD(931, 116) = ( 931 x 116 ) / 107996
GCD(931, 116) = 107996 / 107996
GCD(931, 116) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 931, 116, 889, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 116, 889, 753?
GCD of 931, 116, 889, 753 is 1
2. Where do I get the detailed procedure to find GCD of 931, 116, 889, 753?
You can find a detailed procedure to find GCD of 931, 116, 889, 753 on our page.
3. How to find GCD of 931, 116, 889, 753 on a calculator?
You can find the GCD of 931, 116, 889, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.