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, 997, 790, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 997, 790, 132 is 1
GCD(56, 997, 790, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 997, 790, 132 is 1
GCD(56, 997, 790, 132) = 1
Given Input numbers are 56, 997, 790, 132
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 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 56, 997, 790, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 997, 790, 132 is 1.
Therefore, GCD of numbers 56, 997, 790, 132 is 1
Given Input Data is 56, 997, 790, 132
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 997 is 997
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 132 is 2 x 2 x 3 x 11
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, 997) = 55832
GCD(56, 997) = ( 56 x 997 ) / 55832
GCD(56, 997) = 55832 / 55832
GCD(56, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 56, 997, 790, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 997, 790, 132?
GCD of 56, 997, 790, 132 is 1
2. Where do I get the detailed procedure to find GCD of 56, 997, 790, 132?
You can find a detailed procedure to find GCD of 56, 997, 790, 132 on our page.
3. How to find GCD of 56, 997, 790, 132 on a calculator?
You can find the GCD of 56, 997, 790, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.