GCD of 117, 420, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 117, 420, 972 quickly. Get the easiest ways to solve the greatest common divisor of 117, 420, 972 i.e 3 in different methods as follows.
Given Input numbers are 117, 420, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 (117, 420, 972) = 3.
Given numbers are 117, 420, 972
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 117, 420, 972 is 3.
Steps to Calculate GCD of 117, 420, 972 using LCM Formula
Given numbers are 117, 420, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 420) = 16380
GCD(117, 420) = ( 117 x 420 ) / 16380
= 117 / 420
= 117
Step2:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
So, Greatest Common Divisor of 117, 420, 972 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 117, 420, 972
Given numbers are 117, 420, 972
The greatest common divisor of numbers 117, 420, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 420, 972 is 3.
FAQs on GCD of 117, 420, 972 Calculator
1. What is the GCD of 117, 420, 972?
GCD of given numbers 117, 420, 972 is 3
2. How to calculate the greatest common divisor of 117, 420, 972?
We can find the highest common divisor of 117, 420, 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 117, 420, 972 i.e 3.
3. How can I use the GCD of 117, 420, 972Calculator?
Out the numbers 117, 420, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.