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 960, 314, 36, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 314, 36, 557 is 1
GCD(960, 314, 36, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 314, 36, 557 is 1
GCD(960, 314, 36, 557) = 1
Given Input numbers are 960, 314, 36, 557
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 960, 314, 36, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 314, 36, 557 is 1.
Therefore, GCD of numbers 960, 314, 36, 557 is 1
Given Input Data is 960, 314, 36, 557
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 314 is 2 x 157
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 557 is 557
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(960, 314) = 150720
GCD(960, 314) = ( 960 x 314 ) / 150720
GCD(960, 314) = 301440 / 150720
GCD(960, 314) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 557) = 1114
GCD(2, 557) = ( 2 x 557 ) / 1114
GCD(2, 557) = 1114 / 1114
GCD(2, 557) = 1
GCD of 960, 314, 36, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 314, 36, 557?
GCD of 960, 314, 36, 557 is 1
2. Where do I get the detailed procedure to find GCD of 960, 314, 36, 557?
You can find a detailed procedure to find GCD of 960, 314, 36, 557 on our page.
3. How to find GCD of 960, 314, 36, 557 on a calculator?
You can find the GCD of 960, 314, 36, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.