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 96, 920, 241, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 920, 241, 956 is 1
GCD(96, 920, 241, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 920, 241, 956 is 1
GCD(96, 920, 241, 956) = 1
Given Input numbers are 96, 920, 241, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
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 96, 920, 241, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 920, 241, 956 is 1.
Therefore, GCD of numbers 96, 920, 241, 956 is 1
Given Input Data is 96, 920, 241, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 241 is 241
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(96, 920) = 11040
GCD(96, 920) = ( 96 x 920 ) / 11040
GCD(96, 920) = 88320 / 11040
GCD(96, 920) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 241) = 1928
GCD(8, 241) = ( 8 x 241 ) / 1928
GCD(8, 241) = 1928 / 1928
GCD(8, 241) = 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 96, 920, 241, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 920, 241, 956?
GCD of 96, 920, 241, 956 is 1
2. Where do I get the detailed procedure to find GCD of 96, 920, 241, 956?
You can find a detailed procedure to find GCD of 96, 920, 241, 956 on our page.
3. How to find GCD of 96, 920, 241, 956 on a calculator?
You can find the GCD of 96, 920, 241, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.