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, 805, 80, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 805, 80, 791 is 1
GCD(972, 805, 80, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 805, 80, 791 is 1
GCD(972, 805, 80, 791) = 1
Given Input numbers are 972, 805, 80, 791
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 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 972, 805, 80, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 805, 80, 791 is 1.
Therefore, GCD of numbers 972, 805, 80, 791 is 1
Given Input Data is 972, 805, 80, 791
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 805 is 5 x 7 x 23
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 791 is 7 x 113
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, 805) = 782460
GCD(972, 805) = ( 972 x 805 ) / 782460
GCD(972, 805) = 782460 / 782460
GCD(972, 805) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 972, 805, 80, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 805, 80, 791?
GCD of 972, 805, 80, 791 is 1
2. Where do I get the detailed procedure to find GCD of 972, 805, 80, 791?
You can find a detailed procedure to find GCD of 972, 805, 80, 791 on our page.
3. How to find GCD of 972, 805, 80, 791 on a calculator?
You can find the GCD of 972, 805, 80, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.