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 917, 972, 82, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 972, 82, 666 is 1
GCD(917, 972, 82, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 972, 82, 666 is 1
GCD(917, 972, 82, 666) = 1
Given Input numbers are 917, 972, 82, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
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 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 917, 972, 82, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 972, 82, 666 is 1.
Therefore, GCD of numbers 917, 972, 82, 666 is 1
Given Input Data is 917, 972, 82, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 82 is 2 x 41
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(917, 972) = 891324
GCD(917, 972) = ( 917 x 972 ) / 891324
GCD(917, 972) = 891324 / 891324
GCD(917, 972) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 917, 972, 82, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 972, 82, 666?
GCD of 917, 972, 82, 666 is 1
2. Where do I get the detailed procedure to find GCD of 917, 972, 82, 666?
You can find a detailed procedure to find GCD of 917, 972, 82, 666 on our page.
3. How to find GCD of 917, 972, 82, 666 on a calculator?
You can find the GCD of 917, 972, 82, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.