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 158, 748, 13 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 748, 13 is 1
GCD(158, 748, 13) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 748, 13 is 1
GCD(158, 748, 13) = 1
Given Input numbers are 158, 748, 13
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Greatest Common Divisior
We found the divisors of 158, 748, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 748, 13 is 1.
Therefore, GCD of numbers 158, 748, 13 is 1
Given Input Data is 158, 748, 13
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 13 is 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(158, 748) = 59092
GCD(158, 748) = ( 158 x 748 ) / 59092
GCD(158, 748) = 118184 / 59092
GCD(158, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
GCD of 158, 748, 13 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 748, 13?
GCD of 158, 748, 13 is 1
2. Where do I get the detailed procedure to find GCD of 158, 748, 13?
You can find a detailed procedure to find GCD of 158, 748, 13 on our page.
3. How to find GCD of 158, 748, 13 on a calculator?
You can find the GCD of 158, 748, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.