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 752, 317, 59, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 317, 59, 424 is 1
GCD(752, 317, 59, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 317, 59, 424 is 1
GCD(752, 317, 59, 424) = 1
Given Input numbers are 752, 317, 59, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 752, 317, 59, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 317, 59, 424 is 1.
Therefore, GCD of numbers 752, 317, 59, 424 is 1
Given Input Data is 752, 317, 59, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 317 is 317
Prime Factorization of 59 is 59
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(752, 317) = 238384
GCD(752, 317) = ( 752 x 317 ) / 238384
GCD(752, 317) = 238384 / 238384
GCD(752, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 752, 317, 59, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 317, 59, 424?
GCD of 752, 317, 59, 424 is 1
2. Where do I get the detailed procedure to find GCD of 752, 317, 59, 424?
You can find a detailed procedure to find GCD of 752, 317, 59, 424 on our page.
3. How to find GCD of 752, 317, 59, 424 on a calculator?
You can find the GCD of 752, 317, 59, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.