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 132, 298, 997, 579 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 298, 997, 579 is 1
GCD(132, 298, 997, 579) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 298, 997, 579 is 1
GCD(132, 298, 997, 579) = 1
Given Input numbers are 132, 298, 997, 579
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Greatest Common Divisior
We found the divisors of 132, 298, 997, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 298, 997, 579 is 1.
Therefore, GCD of numbers 132, 298, 997, 579 is 1
Given Input Data is 132, 298, 997, 579
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 298 is 2 x 149
Prime Factorization of 997 is 997
Prime Factorization of 579 is 3 x 193
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(132, 298) = 19668
GCD(132, 298) = ( 132 x 298 ) / 19668
GCD(132, 298) = 39336 / 19668
GCD(132, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
GCD(2, 997) = 1994 / 1994
GCD(2, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 579
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 579) = 579
GCD(1, 579) = ( 1 x 579 ) / 579
GCD(1, 579) = 579 / 579
GCD(1, 579) = 1
GCD of 132, 298, 997, 579 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 298, 997, 579?
GCD of 132, 298, 997, 579 is 1
2. Where do I get the detailed procedure to find GCD of 132, 298, 997, 579?
You can find a detailed procedure to find GCD of 132, 298, 997, 579 on our page.
3. How to find GCD of 132, 298, 997, 579 on a calculator?
You can find the GCD of 132, 298, 997, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.