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 10, 159, 915, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 159, 915, 655 is 1
GCD(10, 159, 915, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 159, 915, 655 is 1
GCD(10, 159, 915, 655) = 1
Given Input numbers are 10, 159, 915, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 10, 159, 915, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 159, 915, 655 is 1.
Therefore, GCD of numbers 10, 159, 915, 655 is 1
Given Input Data is 10, 159, 915, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 159 is 3 x 53
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 655 is 5 x 131
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(10, 159) = 1590
GCD(10, 159) = ( 10 x 159 ) / 1590
GCD(10, 159) = 1590 / 1590
GCD(10, 159) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 10, 159, 915, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 159, 915, 655?
GCD of 10, 159, 915, 655 is 1
2. Where do I get the detailed procedure to find GCD of 10, 159, 915, 655?
You can find a detailed procedure to find GCD of 10, 159, 915, 655 on our page.
3. How to find GCD of 10, 159, 915, 655 on a calculator?
You can find the GCD of 10, 159, 915, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.