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 491, 427, 596, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 427, 596, 133 is 1
GCD(491, 427, 596, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 427, 596, 133 is 1
GCD(491, 427, 596, 133) = 1
Given Input numbers are 491, 427, 596, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 491, 427, 596, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 427, 596, 133 is 1.
Therefore, GCD of numbers 491, 427, 596, 133 is 1
Given Input Data is 491, 427, 596, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 427 is 7 x 61
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 133 is 7 x 19
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(491, 427) = 209657
GCD(491, 427) = ( 491 x 427 ) / 209657
GCD(491, 427) = 209657 / 209657
GCD(491, 427) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 491, 427, 596, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 427, 596, 133?
GCD of 491, 427, 596, 133 is 1
2. Where do I get the detailed procedure to find GCD of 491, 427, 596, 133?
You can find a detailed procedure to find GCD of 491, 427, 596, 133 on our page.
3. How to find GCD of 491, 427, 596, 133 on a calculator?
You can find the GCD of 491, 427, 596, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.