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 25, 615, 610, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 615, 610, 117 is 1
GCD(25, 615, 610, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 615, 610, 117 is 1
GCD(25, 615, 610, 117) = 1
Given Input numbers are 25, 615, 610, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 25, 615, 610, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 615, 610, 117 is 1.
Therefore, GCD of numbers 25, 615, 610, 117 is 1
Given Input Data is 25, 615, 610, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 117 is 3 x 3 x 13
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(25, 615) = 3075
GCD(25, 615) = ( 25 x 615 ) / 3075
GCD(25, 615) = 15375 / 3075
GCD(25, 615) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 610) = 610
GCD(5, 610) = ( 5 x 610 ) / 610
GCD(5, 610) = 3050 / 610
GCD(5, 610) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 117) = 585
GCD(5, 117) = ( 5 x 117 ) / 585
GCD(5, 117) = 585 / 585
GCD(5, 117) = 1
GCD of 25, 615, 610, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 615, 610, 117?
GCD of 25, 615, 610, 117 is 1
2. Where do I get the detailed procedure to find GCD of 25, 615, 610, 117?
You can find a detailed procedure to find GCD of 25, 615, 610, 117 on our page.
3. How to find GCD of 25, 615, 610, 117 on a calculator?
You can find the GCD of 25, 615, 610, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.