GCD of 972, 408, 279 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 972, 408, 279 i.e. 3 largest integer that divides all the numbers equally.
GCD of 972, 408, 279 is 3
GCD(972, 408, 279) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 408, 279 is 3
GCD(972, 408, 279) = 3
GCDof 972,408,279 is 3
Given Input numbers are 972, 408, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 972, 408, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 408, 279 is 3.
Therefore, GCD of numbers 972, 408, 279 is 3
Given Input Data is 972, 408, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 279 is 3 x 3 x 31
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 972, 408, 279 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(972, 408) = 33048
GCD(972, 408) = ( 972 x 408 ) / 33048
GCD(972, 408) = 396576 / 33048
GCD(972, 408) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 279) = 1116
GCD(12, 279) = ( 12 x 279 ) / 1116
GCD(12, 279) = 3348 / 1116
GCD(12, 279) = 3
GCD of 972, 408, 279 is 3
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FAQs on GCD of numbers 972, 408, 279
1. What is the GCD of 972, 408, 279?
GCD of 972, 408, 279 is 3
2. Where do I get the detailed procedure to find GCD of 972, 408, 279?
You can find a detailed procedure to find GCD of 972, 408, 279 on our page.
3. How to find GCD of 972, 408, 279 on a calculator?
You can find the GCD of 972, 408, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.