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 635, 137, 78, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 137, 78, 296 is 1
GCD(635, 137, 78, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 137, 78, 296 is 1
GCD(635, 137, 78, 296) = 1
Given Input numbers are 635, 137, 78, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 635, 137, 78, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 137, 78, 296 is 1.
Therefore, GCD of numbers 635, 137, 78, 296 is 1
Given Input Data is 635, 137, 78, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 137 is 137
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(635, 137) = 86995
GCD(635, 137) = ( 635 x 137 ) / 86995
GCD(635, 137) = 86995 / 86995
GCD(635, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 635, 137, 78, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 137, 78, 296?
GCD of 635, 137, 78, 296 is 1
2. Where do I get the detailed procedure to find GCD of 635, 137, 78, 296?
You can find a detailed procedure to find GCD of 635, 137, 78, 296 on our page.
3. How to find GCD of 635, 137, 78, 296 on a calculator?
You can find the GCD of 635, 137, 78, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.