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 953, 676, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 953, 676, 116 is 1
GCD(953, 676, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 953, 676, 116 is 1
GCD(953, 676, 116) = 1
Given Input numbers are 953, 676, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 953, 676, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 676, 116 is 1.
Therefore, GCD of numbers 953, 676, 116 is 1
Given Input Data is 953, 676, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 953 is 953
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 116 is 2 x 2 x 29
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(953, 676) = 644228
GCD(953, 676) = ( 953 x 676 ) / 644228
GCD(953, 676) = 644228 / 644228
GCD(953, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 953, 676, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 953, 676, 116?
GCD of 953, 676, 116 is 1
2. Where do I get the detailed procedure to find GCD of 953, 676, 116?
You can find a detailed procedure to find GCD of 953, 676, 116 on our page.
3. How to find GCD of 953, 676, 116 on a calculator?
You can find the GCD of 953, 676, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.