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 25, 678, 765, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 678, 765, 956 is 1
GCD(25, 678, 765, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 678, 765, 956 is 1
GCD(25, 678, 765, 956) = 1
Given Input numbers are 25, 678, 765, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 25, 678, 765, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 678, 765, 956 is 1.
Therefore, GCD of numbers 25, 678, 765, 956 is 1
Given Input Data is 25, 678, 765, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 956 is 2 x 2 x 239
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(25, 678) = 16950
GCD(25, 678) = ( 25 x 678 ) / 16950
GCD(25, 678) = 16950 / 16950
GCD(25, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 25, 678, 765, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 678, 765, 956?
GCD of 25, 678, 765, 956 is 1
2. Where do I get the detailed procedure to find GCD of 25, 678, 765, 956?
You can find a detailed procedure to find GCD of 25, 678, 765, 956 on our page.
3. How to find GCD of 25, 678, 765, 956 on a calculator?
You can find the GCD of 25, 678, 765, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.