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, 310, 713, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 310, 713, 655 is 1
GCD(960, 310, 713, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 310, 713, 655 is 1
GCD(960, 310, 713, 655) = 1
Given Input numbers are 960, 310, 713, 655
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 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 960, 310, 713, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 310, 713, 655 is 1.
Therefore, GCD of numbers 960, 310, 713, 655 is 1
Given Input Data is 960, 310, 713, 655
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 310 is 2 x 5 x 31
Prime Factorization of 713 is 23 x 31
Prime Factorization of 655 is 5 x 131
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, 310) = 29760
GCD(960, 310) = ( 960 x 310 ) / 29760
GCD(960, 310) = 297600 / 29760
GCD(960, 310) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 713) = 7130
GCD(10, 713) = ( 10 x 713 ) / 7130
GCD(10, 713) = 7130 / 7130
GCD(10, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 960, 310, 713, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 310, 713, 655?
GCD of 960, 310, 713, 655 is 1
2. Where do I get the detailed procedure to find GCD of 960, 310, 713, 655?
You can find a detailed procedure to find GCD of 960, 310, 713, 655 on our page.
3. How to find GCD of 960, 310, 713, 655 on a calculator?
You can find the GCD of 960, 310, 713, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.