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 72, 979, 402, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 979, 402, 812 is 1
GCD(72, 979, 402, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 979, 402, 812 is 1
GCD(72, 979, 402, 812) = 1
Given Input numbers are 72, 979, 402, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 72, 979, 402, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 979, 402, 812 is 1.
Therefore, GCD of numbers 72, 979, 402, 812 is 1
Given Input Data is 72, 979, 402, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 979 is 11 x 89
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(72, 979) = 70488
GCD(72, 979) = ( 72 x 979 ) / 70488
GCD(72, 979) = 70488 / 70488
GCD(72, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 72, 979, 402, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 979, 402, 812?
GCD of 72, 979, 402, 812 is 1
2. Where do I get the detailed procedure to find GCD of 72, 979, 402, 812?
You can find a detailed procedure to find GCD of 72, 979, 402, 812 on our page.
3. How to find GCD of 72, 979, 402, 812 on a calculator?
You can find the GCD of 72, 979, 402, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.