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, 159, 379, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 159, 379, 687 is 1
GCD(315, 159, 379, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 159, 379, 687 is 1
GCD(315, 159, 379, 687) = 1
Given Input numbers are 315, 159, 379, 687
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 315, 159, 379, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 159, 379, 687 is 1.
Therefore, GCD of numbers 315, 159, 379, 687 is 1
Given Input Data is 315, 159, 379, 687
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 159 is 3 x 53
Prime Factorization of 379 is 379
Prime Factorization of 687 is 3 x 229
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, 159) = 16695
GCD(315, 159) = ( 315 x 159 ) / 16695
GCD(315, 159) = 50085 / 16695
GCD(315, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 379) = 1137
GCD(3, 379) = ( 3 x 379 ) / 1137
GCD(3, 379) = 1137 / 1137
GCD(3, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 315, 159, 379, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 159, 379, 687?
GCD of 315, 159, 379, 687 is 1
2. Where do I get the detailed procedure to find GCD of 315, 159, 379, 687?
You can find a detailed procedure to find GCD of 315, 159, 379, 687 on our page.
3. How to find GCD of 315, 159, 379, 687 on a calculator?
You can find the GCD of 315, 159, 379, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.