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, 696, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 696, 51 is 1
GCD(635, 696, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 696, 51 is 1
GCD(635, 696, 51) = 1
Given Input numbers are 635, 696, 51
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 635, 696, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 696, 51 is 1.
Therefore, GCD of numbers 635, 696, 51 is 1
Given Input Data is 635, 696, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 51 is 3 x 17
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, 696) = 441960
GCD(635, 696) = ( 635 x 696 ) / 441960
GCD(635, 696) = 441960 / 441960
GCD(635, 696) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
GCD of 635, 696, 51 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 696, 51?
GCD of 635, 696, 51 is 1
2. Where do I get the detailed procedure to find GCD of 635, 696, 51?
You can find a detailed procedure to find GCD of 635, 696, 51 on our page.
3. How to find GCD of 635, 696, 51 on a calculator?
You can find the GCD of 635, 696, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.