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 58, 744, 859, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 744, 859, 339 is 1
GCD(58, 744, 859, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 744, 859, 339 is 1
GCD(58, 744, 859, 339) = 1
Given Input numbers are 58, 744, 859, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
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 58, 744, 859, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 744, 859, 339 is 1.
Therefore, GCD of numbers 58, 744, 859, 339 is 1
Given Input Data is 58, 744, 859, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 859 is 859
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(58, 744) = 21576
GCD(58, 744) = ( 58 x 744 ) / 21576
GCD(58, 744) = 43152 / 21576
GCD(58, 744) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 859) = 1718
GCD(2, 859) = ( 2 x 859 ) / 1718
GCD(2, 859) = 1718 / 1718
GCD(2, 859) = 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 58, 744, 859, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 744, 859, 339?
GCD of 58, 744, 859, 339 is 1
2. Where do I get the detailed procedure to find GCD of 58, 744, 859, 339?
You can find a detailed procedure to find GCD of 58, 744, 859, 339 on our page.
3. How to find GCD of 58, 744, 859, 339 on a calculator?
You can find the GCD of 58, 744, 859, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.