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 315, 927, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 927, 970 is 1
GCD(315, 927, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 927, 970 is 1
GCD(315, 927, 970) = 1
Given Input numbers are 315, 927, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 315, 927, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 927, 970 is 1.
Therefore, GCD of numbers 315, 927, 970 is 1
Given Input Data is 315, 927, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 970 is 2 x 5 x 97
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(315, 927) = 32445
GCD(315, 927) = ( 315 x 927 ) / 32445
GCD(315, 927) = 292005 / 32445
GCD(315, 927) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 970) = 8730
GCD(9, 970) = ( 9 x 970 ) / 8730
GCD(9, 970) = 8730 / 8730
GCD(9, 970) = 1
GCD of 315, 927, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 927, 970?
GCD of 315, 927, 970 is 1
2. Where do I get the detailed procedure to find GCD of 315, 927, 970?
You can find a detailed procedure to find GCD of 315, 927, 970 on our page.
3. How to find GCD of 315, 927, 970 on a calculator?
You can find the GCD of 315, 927, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.