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 399, 493, 59, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 493, 59, 634 is 1
GCD(399, 493, 59, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 493, 59, 634 is 1
GCD(399, 493, 59, 634) = 1
Given Input numbers are 399, 493, 59, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 399, 493, 59, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 493, 59, 634 is 1.
Therefore, GCD of numbers 399, 493, 59, 634 is 1
Given Input Data is 399, 493, 59, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 493 is 17 x 29
Prime Factorization of 59 is 59
Prime Factorization of 634 is 2 x 317
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(399, 493) = 196707
GCD(399, 493) = ( 399 x 493 ) / 196707
GCD(399, 493) = 196707 / 196707
GCD(399, 493) = 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 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 399, 493, 59, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 493, 59, 634?
GCD of 399, 493, 59, 634 is 1
2. Where do I get the detailed procedure to find GCD of 399, 493, 59, 634?
You can find a detailed procedure to find GCD of 399, 493, 59, 634 on our page.
3. How to find GCD of 399, 493, 59, 634 on a calculator?
You can find the GCD of 399, 493, 59, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.