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 468, 618, 66, 124 i.e. 2 largest integer that divides all the numbers equally.
GCD of 468, 618, 66, 124 is 2
GCD(468, 618, 66, 124) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 618, 66, 124 is 2
GCD(468, 618, 66, 124) = 2
Given Input numbers are 468, 618, 66, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 468, 618, 66, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 618, 66, 124 is 2.
Therefore, GCD of numbers 468, 618, 66, 124 is 2
Given Input Data is 468, 618, 66, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 124 is 2 x 2 x 31
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(468, 618) = 48204
GCD(468, 618) = ( 468 x 618 ) / 48204
GCD(468, 618) = 289224 / 48204
GCD(468, 618) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 66) = 66
GCD(6, 66) = ( 6 x 66 ) / 66
GCD(6, 66) = 396 / 66
GCD(6, 66) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 124) = 372
GCD(6, 124) = ( 6 x 124 ) / 372
GCD(6, 124) = 744 / 372
GCD(6, 124) = 2
GCD of 468, 618, 66, 124 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 618, 66, 124?
GCD of 468, 618, 66, 124 is 2
2. Where do I get the detailed procedure to find GCD of 468, 618, 66, 124?
You can find a detailed procedure to find GCD of 468, 618, 66, 124 on our page.
3. How to find GCD of 468, 618, 66, 124 on a calculator?
You can find the GCD of 468, 618, 66, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.