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 795, 315, 87, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 315, 87, 137 is 1
GCD(795, 315, 87, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 315, 87, 137 is 1
GCD(795, 315, 87, 137) = 1
Given Input numbers are 795, 315, 87, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
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 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 795, 315, 87, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 315, 87, 137 is 1.
Therefore, GCD of numbers 795, 315, 87, 137 is 1
Given Input Data is 795, 315, 87, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 137 is 137
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(795, 315) = 16695
GCD(795, 315) = ( 795 x 315 ) / 16695
GCD(795, 315) = 250425 / 16695
GCD(795, 315) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 87) = 435
GCD(15, 87) = ( 15 x 87 ) / 435
GCD(15, 87) = 1305 / 435
GCD(15, 87) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 137) = 411
GCD(3, 137) = ( 3 x 137 ) / 411
GCD(3, 137) = 411 / 411
GCD(3, 137) = 1
GCD of 795, 315, 87, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 315, 87, 137?
GCD of 795, 315, 87, 137 is 1
2. Where do I get the detailed procedure to find GCD of 795, 315, 87, 137?
You can find a detailed procedure to find GCD of 795, 315, 87, 137 on our page.
3. How to find GCD of 795, 315, 87, 137 on a calculator?
You can find the GCD of 795, 315, 87, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.