GCD of 916, 822, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 916, 822, 972 quickly. Get the easiest ways to solve the greatest common divisor of 916, 822, 972 i.e 2 in different methods as follows.
Given Input numbers are 916, 822, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (916, 822, 972) = 2.
Given numbers are 916, 822, 972
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 822 are 2 x 3 x 137
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 916, 822, 972 is 2.
Steps to Calculate GCD of 916, 822, 972 using LCM Formula
Given numbers are 916, 822, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 822) = 376476
GCD(916, 822) = ( 916 x 822 ) / 376476
= 916 / 822
= 916
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 916, 822, 972 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 916, 822, 972
Given numbers are 916, 822, 972
The greatest common divisor of numbers 916, 822, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 822, 972 is 2.
FAQs on GCD of 916, 822, 972 Calculator
1. What is the GCD of 916, 822, 972?
GCD of given numbers 916, 822, 972 is 2
2. How to calculate the greatest common divisor of 916, 822, 972?
We can find the highest common divisor of 916, 822, 972 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 916, 822, 972 i.e 2.
3. How can I use the GCD of 916, 822, 972Calculator?
Out the numbers 916, 822, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.