GCD of 916, 468, 144 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 916, 468, 144 quickly. Get the easiest ways to solve the greatest common divisor of 916, 468, 144 i.e 4 in different methods as follows.
Given Input numbers are 916, 468, 144
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 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (916, 468, 144) = 4.
Given numbers are 916, 468, 144
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 916, 468, 144 is 4.
Steps to Calculate GCD of 916, 468, 144 using LCM Formula
Given numbers are 916, 468, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 468) = 107172
GCD(916, 468) = ( 916 x 468 ) / 107172
= 916 / 468
= 916
Step2:
LCM(4, 144) = 144
GCD(4, 144) = ( 4 x 144 ) / 144
= 4 / 144
= 4
So, Greatest Common Divisor of 916, 468, 144 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 916, 468, 144
Given numbers are 916, 468, 144
The greatest common divisor of numbers 916, 468, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 468, 144 is 4.
FAQs on GCD of 916, 468, 144 Calculator
1. What is the GCD of 916, 468, 144?
GCD of given numbers 916, 468, 144 is 4
2. How to calculate the greatest common divisor of 916, 468, 144?
We can find the highest common divisor of 916, 468, 144 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, 468, 144 i.e 4.
3. How can I use the GCD of 916, 468, 144Calculator?
Out the numbers 916, 468, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.