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, 282, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 282, 779 is 1
GCD(972, 282, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 282, 779 is 1
GCD(972, 282, 779) = 1
Given Input numbers are 972, 282, 779
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 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 972, 282, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 282, 779 is 1.
Therefore, GCD of numbers 972, 282, 779 is 1
Given Input Data is 972, 282, 779
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 282 is 2 x 3 x 47
Prime Factorization of 779 is 19 x 41
The above numbers do not have any common prime factor. So GCD is 1
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, 282) = 45684
GCD(972, 282) = ( 972 x 282 ) / 45684
GCD(972, 282) = 274104 / 45684
GCD(972, 282) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 779) = 4674
GCD(6, 779) = ( 6 x 779 ) / 4674
GCD(6, 779) = 4674 / 4674
GCD(6, 779) = 1
GCD of 972, 282, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 282, 779?
GCD of 972, 282, 779 is 1
2. Where do I get the detailed procedure to find GCD of 972, 282, 779?
You can find a detailed procedure to find GCD of 972, 282, 779 on our page.
3. How to find GCD of 972, 282, 779 on a calculator?
You can find the GCD of 972, 282, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.