GCD of 972, 508, 672 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 972, 508, 672 quickly. Get the easiest ways to solve the greatest common divisor of 972, 508, 672 i.e 4 in different methods as follows.
Given Input numbers are 972, 508, 672
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (972, 508, 672) = 4.
Given numbers are 972, 508, 672
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 508 are 2 x 2 x 127
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 972, 508, 672 is 4.
Steps to Calculate GCD of 972, 508, 672 using LCM Formula
Given numbers are 972, 508, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 508) = 123444
GCD(972, 508) = ( 972 x 508 ) / 123444
= 972 / 508
= 972
Step2:
LCM(4, 672) = 672
GCD(4, 672) = ( 4 x 672 ) / 672
= 4 / 672
= 4
So, Greatest Common Divisor of 972, 508, 672 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 972, 508, 672
Given numbers are 972, 508, 672
The greatest common divisor of numbers 972, 508, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 508, 672 is 4.
FAQs on GCD of 972, 508, 672 Calculator
1. What is the GCD of 972, 508, 672?
GCD of given numbers 972, 508, 672 is 4
2. How to calculate the greatest common divisor of 972, 508, 672?
We can find the highest common divisor of 972, 508, 672 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 972, 508, 672 i.e 4.
3. How can I use the GCD of 972, 508, 672Calculator?
Out the numbers 972, 508, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.