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 15, 425, 428, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 425, 428, 132 is 1
GCD(15, 425, 428, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 425, 428, 132 is 1
GCD(15, 425, 428, 132) = 1
Given Input numbers are 15, 425, 428, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 15, 425, 428, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 425, 428, 132 is 1.
Therefore, GCD of numbers 15, 425, 428, 132 is 1
Given Input Data is 15, 425, 428, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(15, 425) = 1275
GCD(15, 425) = ( 15 x 425 ) / 1275
GCD(15, 425) = 6375 / 1275
GCD(15, 425) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 428) = 2140
GCD(5, 428) = ( 5 x 428 ) / 2140
GCD(5, 428) = 2140 / 2140
GCD(5, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 15, 425, 428, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 425, 428, 132?
GCD of 15, 425, 428, 132 is 1
2. Where do I get the detailed procedure to find GCD of 15, 425, 428, 132?
You can find a detailed procedure to find GCD of 15, 425, 428, 132 on our page.
3. How to find GCD of 15, 425, 428, 132 on a calculator?
You can find the GCD of 15, 425, 428, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.