GCD of 984, 477, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 984, 477, 72 quickly. Get the easiest ways to solve the greatest common divisor of 984, 477, 72 i.e 3 in different methods as follows.
Given Input numbers are 984, 477, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (984, 477, 72) = 3.
Given numbers are 984, 477, 72
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 477 are 3 x 3 x 53
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 984, 477, 72 is 3.
Steps to Calculate GCD of 984, 477, 72 using LCM Formula
Given numbers are 984, 477, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 477) = 156456
GCD(984, 477) = ( 984 x 477 ) / 156456
= 984 / 477
= 984
Step2:
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
= 3 / 72
= 3
So, Greatest Common Divisor of 984, 477, 72 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 984, 477, 72
Given numbers are 984, 477, 72
The greatest common divisor of numbers 984, 477, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 477, 72 is 3.
FAQs on GCD of 984, 477, 72 Calculator
1. What is the GCD of 984, 477, 72?
GCD of given numbers 984, 477, 72 is 3
2. How to calculate the greatest common divisor of 984, 477, 72?
We can find the highest common divisor of 984, 477, 72 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 984, 477, 72 i.e 3.
3. How can I use the GCD of 984, 477, 72Calculator?
Out the numbers 984, 477, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.