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, 718, 91, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 718, 91, 555 is 1
GCD(960, 718, 91, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 718, 91, 555 is 1
GCD(960, 718, 91, 555) = 1
Given Input numbers are 960, 718, 91, 555
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 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 960, 718, 91, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 718, 91, 555 is 1.
Therefore, GCD of numbers 960, 718, 91, 555 is 1
Given Input Data is 960, 718, 91, 555
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 718 is 2 x 359
Prime Factorization of 91 is 7 x 13
Prime Factorization of 555 is 3 x 5 x 37
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, 718) = 344640
GCD(960, 718) = ( 960 x 718 ) / 344640
GCD(960, 718) = 689280 / 344640
GCD(960, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 960, 718, 91, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 718, 91, 555?
GCD of 960, 718, 91, 555 is 1
2. Where do I get the detailed procedure to find GCD of 960, 718, 91, 555?
You can find a detailed procedure to find GCD of 960, 718, 91, 555 on our page.
3. How to find GCD of 960, 718, 91, 555 on a calculator?
You can find the GCD of 960, 718, 91, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.