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 956, 787, 20, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 787, 20, 217 is 1
GCD(956, 787, 20, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 787, 20, 217 is 1
GCD(956, 787, 20, 217) = 1
Given Input numbers are 956, 787, 20, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 956, 787, 20, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 787, 20, 217 is 1.
Therefore, GCD of numbers 956, 787, 20, 217 is 1
Given Input Data is 956, 787, 20, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 787 is 787
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 217 is 7 x 31
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(956, 787) = 752372
GCD(956, 787) = ( 956 x 787 ) / 752372
GCD(956, 787) = 752372 / 752372
GCD(956, 787) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
GCD of 956, 787, 20, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 787, 20, 217?
GCD of 956, 787, 20, 217 is 1
2. Where do I get the detailed procedure to find GCD of 956, 787, 20, 217?
You can find a detailed procedure to find GCD of 956, 787, 20, 217 on our page.
3. How to find GCD of 956, 787, 20, 217 on a calculator?
You can find the GCD of 956, 787, 20, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.