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, 361, 91, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 361, 91, 360 is 1
GCD(956, 361, 91, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 361, 91, 360 is 1
GCD(956, 361, 91, 360) = 1
Given Input numbers are 956, 361, 91, 360
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 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 956, 361, 91, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 361, 91, 360 is 1.
Therefore, GCD of numbers 956, 361, 91, 360 is 1
Given Input Data is 956, 361, 91, 360
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 361 is 19 x 19
Prime Factorization of 91 is 7 x 13
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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, 361) = 345116
GCD(956, 361) = ( 956 x 361 ) / 345116
GCD(956, 361) = 345116 / 345116
GCD(956, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 956, 361, 91, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 361, 91, 360?
GCD of 956, 361, 91, 360 is 1
2. Where do I get the detailed procedure to find GCD of 956, 361, 91, 360?
You can find a detailed procedure to find GCD of 956, 361, 91, 360 on our page.
3. How to find GCD of 956, 361, 91, 360 on a calculator?
You can find the GCD of 956, 361, 91, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.