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, 424, 788, 176 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 424, 788, 176 is 1
GCD(15, 424, 788, 176) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 424, 788, 176 is 1
GCD(15, 424, 788, 176) = 1
Given Input numbers are 15, 424, 788, 176
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 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Greatest Common Divisior
We found the divisors of 15, 424, 788, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 424, 788, 176 is 1.
Therefore, GCD of numbers 15, 424, 788, 176 is 1
Given Input Data is 15, 424, 788, 176
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 176 is 2 x 2 x 2 x 2 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, 424) = 6360
GCD(15, 424) = ( 15 x 424 ) / 6360
GCD(15, 424) = 6360 / 6360
GCD(15, 424) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
GCD of 15, 424, 788, 176 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 424, 788, 176?
GCD of 15, 424, 788, 176 is 1
2. Where do I get the detailed procedure to find GCD of 15, 424, 788, 176?
You can find a detailed procedure to find GCD of 15, 424, 788, 176 on our page.
3. How to find GCD of 15, 424, 788, 176 on a calculator?
You can find the GCD of 15, 424, 788, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.