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 660, 931, 312, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 931, 312, 345 is 1
GCD(660, 931, 312, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 931, 312, 345 is 1
GCD(660, 931, 312, 345) = 1
Given Input numbers are 660, 931, 312, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 660, 931, 312, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 931, 312, 345 is 1.
Therefore, GCD of numbers 660, 931, 312, 345 is 1
Given Input Data is 660, 931, 312, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 345 is 3 x 5 x 23
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(660, 931) = 614460
GCD(660, 931) = ( 660 x 931 ) / 614460
GCD(660, 931) = 614460 / 614460
GCD(660, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 660, 931, 312, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 931, 312, 345?
GCD of 660, 931, 312, 345 is 1
2. Where do I get the detailed procedure to find GCD of 660, 931, 312, 345?
You can find a detailed procedure to find GCD of 660, 931, 312, 345 on our page.
3. How to find GCD of 660, 931, 312, 345 on a calculator?
You can find the GCD of 660, 931, 312, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.