GCD of 972, 603, 84 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 972, 603, 84 quickly. Get the easiest ways to solve the greatest common divisor of 972, 603, 84 i.e 3 in different methods as follows.
Given Input numbers are 972, 603, 84
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 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (972, 603, 84) = 3.
Given numbers are 972, 603, 84
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 603 are 3 x 3 x 67
Prime factors of 84 are 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 972, 603, 84 is 3.
Steps to Calculate GCD of 972, 603, 84 using LCM Formula
Given numbers are 972, 603, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 603) = 65124
GCD(972, 603) = ( 972 x 603 ) / 65124
= 972 / 603
= 972
Step2:
LCM(9, 84) = 252
GCD(9, 84) = ( 9 x 84 ) / 252
= 9 / 84
= 9
So, Greatest Common Divisor of 972, 603, 84 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 972, 603, 84
Given numbers are 972, 603, 84
The greatest common divisor of numbers 972, 603, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 603, 84 is 3.
FAQs on GCD of 972, 603, 84 Calculator
1. What is the GCD of 972, 603, 84?
GCD of given numbers 972, 603, 84 is 3
2. How to calculate the greatest common divisor of 972, 603, 84?
We can find the highest common divisor of 972, 603, 84 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, 603, 84 i.e 3.
3. How can I use the GCD of 972, 603, 84Calculator?
Out the numbers 972, 603, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.