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 249, 543, 98, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 543, 98, 132 is 1
GCD(249, 543, 98, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 543, 98, 132 is 1
GCD(249, 543, 98, 132) = 1
Given Input numbers are 249, 543, 98, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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
Greatest Common Divisior
We found the divisors of 249, 543, 98, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 543, 98, 132 is 1.
Therefore, GCD of numbers 249, 543, 98, 132 is 1
Given Input Data is 249, 543, 98, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 543 is 3 x 181
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(249, 543) = 45069
GCD(249, 543) = ( 249 x 543 ) / 45069
GCD(249, 543) = 135207 / 45069
GCD(249, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 249, 543, 98, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 543, 98, 132?
GCD of 249, 543, 98, 132 is 1
2. Where do I get the detailed procedure to find GCD of 249, 543, 98, 132?
You can find a detailed procedure to find GCD of 249, 543, 98, 132 on our page.
3. How to find GCD of 249, 543, 98, 132 on a calculator?
You can find the GCD of 249, 543, 98, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.