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, 859, 383, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 859, 383, 339 is 1
GCD(748, 859, 383, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 859, 383, 339 is 1
GCD(748, 859, 383, 339) = 1
Given Input numbers are 748, 859, 383, 339
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 748, 859, 383, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 859, 383, 339 is 1.
Therefore, GCD of numbers 748, 859, 383, 339 is 1
Given Input Data is 748, 859, 383, 339
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 859 is 859
Prime Factorization of 383 is 383
Prime Factorization of 339 is 3 x 113
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, 859) = 642532
GCD(748, 859) = ( 748 x 859 ) / 642532
GCD(748, 859) = 642532 / 642532
GCD(748, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 748, 859, 383, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 859, 383, 339?
GCD of 748, 859, 383, 339 is 1
2. Where do I get the detailed procedure to find GCD of 748, 859, 383, 339?
You can find a detailed procedure to find GCD of 748, 859, 383, 339 on our page.
3. How to find GCD of 748, 859, 383, 339 on a calculator?
You can find the GCD of 748, 859, 383, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.