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 748, 258, 59, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 258, 59, 323 is 1
GCD(748, 258, 59, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 258, 59, 323 is 1
GCD(748, 258, 59, 323) = 1
Given Input numbers are 748, 258, 59, 323
To find the GCD of numbers using factoring list out all the divisors of each number
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 748, 258, 59, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 258, 59, 323 is 1.
Therefore, GCD of numbers 748, 258, 59, 323 is 1
Given Input Data is 748, 258, 59, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 59 is 59
Prime Factorization of 323 is 17 x 19
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(748, 258) = 96492
GCD(748, 258) = ( 748 x 258 ) / 96492
GCD(748, 258) = 192984 / 96492
GCD(748, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 59) = 118
GCD(2, 59) = ( 2 x 59 ) / 118
GCD(2, 59) = 118 / 118
GCD(2, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 748, 258, 59, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 258, 59, 323?
GCD of 748, 258, 59, 323 is 1
2. Where do I get the detailed procedure to find GCD of 748, 258, 59, 323?
You can find a detailed procedure to find GCD of 748, 258, 59, 323 on our page.
3. How to find GCD of 748, 258, 59, 323 on a calculator?
You can find the GCD of 748, 258, 59, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.