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 493, 735, 117, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 735, 117, 596 is 1
GCD(493, 735, 117, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 735, 117, 596 is 1
GCD(493, 735, 117, 596) = 1
Given Input numbers are 493, 735, 117, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 493, 735, 117, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 735, 117, 596 is 1.
Therefore, GCD of numbers 493, 735, 117, 596 is 1
Given Input Data is 493, 735, 117, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 596 is 2 x 2 x 149
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(493, 735) = 362355
GCD(493, 735) = ( 493 x 735 ) / 362355
GCD(493, 735) = 362355 / 362355
GCD(493, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 493, 735, 117, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 735, 117, 596?
GCD of 493, 735, 117, 596 is 1
2. Where do I get the detailed procedure to find GCD of 493, 735, 117, 596?
You can find a detailed procedure to find GCD of 493, 735, 117, 596 on our page.
3. How to find GCD of 493, 735, 117, 596 on a calculator?
You can find the GCD of 493, 735, 117, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.