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, 871, 17, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 871, 17, 612 is 1
GCD(972, 871, 17, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 871, 17, 612 is 1
GCD(972, 871, 17, 612) = 1
Given Input numbers are 972, 871, 17, 612
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 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 972, 871, 17, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 871, 17, 612 is 1.
Therefore, GCD of numbers 972, 871, 17, 612 is 1
Given Input Data is 972, 871, 17, 612
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 871 is 13 x 67
Prime Factorization of 17 is 17
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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, 871) = 846612
GCD(972, 871) = ( 972 x 871 ) / 846612
GCD(972, 871) = 846612 / 846612
GCD(972, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 972, 871, 17, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 871, 17, 612?
GCD of 972, 871, 17, 612 is 1
2. Where do I get the detailed procedure to find GCD of 972, 871, 17, 612?
You can find a detailed procedure to find GCD of 972, 871, 17, 612 on our page.
3. How to find GCD of 972, 871, 17, 612 on a calculator?
You can find the GCD of 972, 871, 17, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.