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 422, 549, 15, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 549, 15, 125 is 1
GCD(422, 549, 15, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 549, 15, 125 is 1
GCD(422, 549, 15, 125) = 1
Given Input numbers are 422, 549, 15, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 422, 549, 15, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 549, 15, 125 is 1.
Therefore, GCD of numbers 422, 549, 15, 125 is 1
Given Input Data is 422, 549, 15, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 15 is 3 x 5
Prime Factorization of 125 is 5 x 5 x 5
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(422, 549) = 231678
GCD(422, 549) = ( 422 x 549 ) / 231678
GCD(422, 549) = 231678 / 231678
GCD(422, 549) = 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 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 422, 549, 15, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 549, 15, 125?
GCD of 422, 549, 15, 125 is 1
2. Where do I get the detailed procedure to find GCD of 422, 549, 15, 125?
You can find a detailed procedure to find GCD of 422, 549, 15, 125 on our page.
3. How to find GCD of 422, 549, 15, 125 on a calculator?
You can find the GCD of 422, 549, 15, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.