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, 108, 64, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 108, 64, 713 is 1
GCD(960, 108, 64, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 108, 64, 713 is 1
GCD(960, 108, 64, 713) = 1
Given Input numbers are 960, 108, 64, 713
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 960, 108, 64, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 108, 64, 713 is 1.
Therefore, GCD of numbers 960, 108, 64, 713 is 1
Given Input Data is 960, 108, 64, 713
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 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 713 is 23 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(960, 108) = 8640
GCD(960, 108) = ( 960 x 108 ) / 8640
GCD(960, 108) = 103680 / 8640
GCD(960, 108) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 64) = 192
GCD(12, 64) = ( 12 x 64 ) / 192
GCD(12, 64) = 768 / 192
GCD(12, 64) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 713) = 2852
GCD(4, 713) = ( 4 x 713 ) / 2852
GCD(4, 713) = 2852 / 2852
GCD(4, 713) = 1
GCD of 960, 108, 64, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 108, 64, 713?
GCD of 960, 108, 64, 713 is 1
2. Where do I get the detailed procedure to find GCD of 960, 108, 64, 713?
You can find a detailed procedure to find GCD of 960, 108, 64, 713 on our page.
3. How to find GCD of 960, 108, 64, 713 on a calculator?
You can find the GCD of 960, 108, 64, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.