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 732, 438, 618, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 732, 438, 618, 188 is 2
GCD(732, 438, 618, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 438, 618, 188 is 2
GCD(732, 438, 618, 188) = 2
Given Input numbers are 732, 438, 618, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
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 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 732, 438, 618, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 438, 618, 188 is 2.
Therefore, GCD of numbers 732, 438, 618, 188 is 2
Given Input Data is 732, 438, 618, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 188 is 2 x 2 x 47
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(732, 438) = 53436
GCD(732, 438) = ( 732 x 438 ) / 53436
GCD(732, 438) = 320616 / 53436
GCD(732, 438) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 618) = 618
GCD(6, 618) = ( 6 x 618 ) / 618
GCD(6, 618) = 3708 / 618
GCD(6, 618) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 188) = 564
GCD(6, 188) = ( 6 x 188 ) / 564
GCD(6, 188) = 1128 / 564
GCD(6, 188) = 2
GCD of 732, 438, 618, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 438, 618, 188?
GCD of 732, 438, 618, 188 is 2
2. Where do I get the detailed procedure to find GCD of 732, 438, 618, 188?
You can find a detailed procedure to find GCD of 732, 438, 618, 188 on our page.
3. How to find GCD of 732, 438, 618, 188 on a calculator?
You can find the GCD of 732, 438, 618, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.