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 125, 684, 15, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 684, 15, 665 is 1
GCD(125, 684, 15, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 684, 15, 665 is 1
GCD(125, 684, 15, 665) = 1
Given Input numbers are 125, 684, 15, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 125, 684, 15, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 684, 15, 665 is 1.
Therefore, GCD of numbers 125, 684, 15, 665 is 1
Given Input Data is 125, 684, 15, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 15 is 3 x 5
Prime Factorization of 665 is 5 x 7 x 19
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(125, 684) = 85500
GCD(125, 684) = ( 125 x 684 ) / 85500
GCD(125, 684) = 85500 / 85500
GCD(125, 684) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 125, 684, 15, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 684, 15, 665?
GCD of 125, 684, 15, 665 is 1
2. Where do I get the detailed procedure to find GCD of 125, 684, 15, 665?
You can find a detailed procedure to find GCD of 125, 684, 15, 665 on our page.
3. How to find GCD of 125, 684, 15, 665 on a calculator?
You can find the GCD of 125, 684, 15, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.