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 15, 260, 860, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 260, 860, 137 is 1
GCD(15, 260, 860, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 260, 860, 137 is 1
GCD(15, 260, 860, 137) = 1
Given Input numbers are 15, 260, 860, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
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 15, 260, 860, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 260, 860, 137 is 1.
Therefore, GCD of numbers 15, 260, 860, 137 is 1
Given Input Data is 15, 260, 860, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(15, 260) = 780
GCD(15, 260) = ( 15 x 260 ) / 780
GCD(15, 260) = 3900 / 780
GCD(15, 260) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 860) = 860
GCD(5, 860) = ( 5 x 860 ) / 860
GCD(5, 860) = 4300 / 860
GCD(5, 860) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 137) = 685
GCD(5, 137) = ( 5 x 137 ) / 685
GCD(5, 137) = 685 / 685
GCD(5, 137) = 1
GCD of 15, 260, 860, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 260, 860, 137?
GCD of 15, 260, 860, 137 is 1
2. Where do I get the detailed procedure to find GCD of 15, 260, 860, 137?
You can find a detailed procedure to find GCD of 15, 260, 860, 137 on our page.
3. How to find GCD of 15, 260, 860, 137 on a calculator?
You can find the GCD of 15, 260, 860, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.