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 116, 134, 276, 634 i.e. 2 largest integer that divides all the numbers equally.
GCD of 116, 134, 276, 634 is 2
GCD(116, 134, 276, 634) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 134, 276, 634 is 2
GCD(116, 134, 276, 634) = 2
Given Input numbers are 116, 134, 276, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 116, 134, 276, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 134, 276, 634 is 2.
Therefore, GCD of numbers 116, 134, 276, 634 is 2
Given Input Data is 116, 134, 276, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 134 is 2 x 67
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 634 is 2 x 317
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(116, 134) = 7772
GCD(116, 134) = ( 116 x 134 ) / 7772
GCD(116, 134) = 15544 / 7772
GCD(116, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 276) = 276
GCD(2, 276) = ( 2 x 276 ) / 276
GCD(2, 276) = 552 / 276
GCD(2, 276) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
GCD(2, 634) = 1268 / 634
GCD(2, 634) = 2
GCD of 116, 134, 276, 634 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 134, 276, 634?
GCD of 116, 134, 276, 634 is 2
2. Where do I get the detailed procedure to find GCD of 116, 134, 276, 634?
You can find a detailed procedure to find GCD of 116, 134, 276, 634 on our page.
3. How to find GCD of 116, 134, 276, 634 on a calculator?
You can find the GCD of 116, 134, 276, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.