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 758, 108, 13, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 108, 13, 354 is 1
GCD(758, 108, 13, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 108, 13, 354 is 1
GCD(758, 108, 13, 354) = 1
Given Input numbers are 758, 108, 13, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 758, 108, 13, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 108, 13, 354 is 1.
Therefore, GCD of numbers 758, 108, 13, 354 is 1
Given Input Data is 758, 108, 13, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 13 is 13
Prime Factorization of 354 is 2 x 3 x 59
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(758, 108) = 40932
GCD(758, 108) = ( 758 x 108 ) / 40932
GCD(758, 108) = 81864 / 40932
GCD(758, 108) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 758, 108, 13, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 108, 13, 354?
GCD of 758, 108, 13, 354 is 1
2. Where do I get the detailed procedure to find GCD of 758, 108, 13, 354?
You can find a detailed procedure to find GCD of 758, 108, 13, 354 on our page.
3. How to find GCD of 758, 108, 13, 354 on a calculator?
You can find the GCD of 758, 108, 13, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.