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 915, 760, 133, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 915, 760, 133, 860 is 1
GCD(915, 760, 133, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 915, 760, 133, 860 is 1
GCD(915, 760, 133, 860) = 1
Given Input numbers are 915, 760, 133, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
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
Greatest Common Divisior
We found the divisors of 915, 760, 133, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 760, 133, 860 is 1.
Therefore, GCD of numbers 915, 760, 133, 860 is 1
Given Input Data is 915, 760, 133, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 133 is 7 x 19
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(915, 760) = 139080
GCD(915, 760) = ( 915 x 760 ) / 139080
GCD(915, 760) = 695400 / 139080
GCD(915, 760) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 133) = 665
GCD(5, 133) = ( 5 x 133 ) / 665
GCD(5, 133) = 665 / 665
GCD(5, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 915, 760, 133, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 915, 760, 133, 860?
GCD of 915, 760, 133, 860 is 1
2. Where do I get the detailed procedure to find GCD of 915, 760, 133, 860?
You can find a detailed procedure to find GCD of 915, 760, 133, 860 on our page.
3. How to find GCD of 915, 760, 133, 860 on a calculator?
You can find the GCD of 915, 760, 133, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.