GCD of 916, 991, 56 Calculator
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 916, 991, 56 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 991, 56 is 1
GCD(916, 991, 56) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 991, 56 is 1
GCD(916, 991, 56) = 1
GCDof 916,991,56 is 1
Given Input numbers are 916, 991, 56
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Greatest Common Divisior
We found the divisors of 916, 991, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 991, 56 is 1.
Therefore, GCD of numbers 916, 991, 56 is 1
Given Input Data is 916, 991, 56
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 991 is 991
Prime Factorization of 56 is 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 916, 991, 56 using LCM Formula
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(916, 991) = 907756
GCD(916, 991) = ( 916 x 991 ) / 907756
GCD(916, 991) = 907756 / 907756
GCD(916, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
GCD of 916, 991, 56 is 1
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FAQs on GCD of numbers 916, 991, 56
1. What is the GCD of 916, 991, 56?
GCD of 916, 991, 56 is 1
2. Where do I get the detailed procedure to find GCD of 916, 991, 56?
You can find a detailed procedure to find GCD of 916, 991, 56 on our page.
3. How to find GCD of 916, 991, 56 on a calculator?
You can find the GCD of 916, 991, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
