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 56, 675, 722, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 675, 722, 116 is 1
GCD(56, 675, 722, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 675, 722, 116 is 1
GCD(56, 675, 722, 116) = 1
Given Input numbers are 56, 675, 722, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 56, 675, 722, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 675, 722, 116 is 1.
Therefore, GCD of numbers 56, 675, 722, 116 is 1
Given Input Data is 56, 675, 722, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 116 is 2 x 2 x 29
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(56, 675) = 37800
GCD(56, 675) = ( 56 x 675 ) / 37800
GCD(56, 675) = 37800 / 37800
GCD(56, 675) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
GCD(1, 722) = 722 / 722
GCD(1, 722) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 56, 675, 722, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 675, 722, 116?
GCD of 56, 675, 722, 116 is 1
2. Where do I get the detailed procedure to find GCD of 56, 675, 722, 116?
You can find a detailed procedure to find GCD of 56, 675, 722, 116 on our page.
3. How to find GCD of 56, 675, 722, 116 on a calculator?
You can find the GCD of 56, 675, 722, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.