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 54, 382, 238, 744 i.e. 2 largest integer that divides all the numbers equally.
GCD of 54, 382, 238, 744 is 2
GCD(54, 382, 238, 744) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 382, 238, 744 is 2
GCD(54, 382, 238, 744) = 2
Given Input numbers are 54, 382, 238, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 54, 382, 238, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 382, 238, 744 is 2.
Therefore, GCD of numbers 54, 382, 238, 744 is 2
Given Input Data is 54, 382, 238, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 382 is 2 x 191
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 744 is 2 x 2 x 2 x 3 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(54, 382) = 10314
GCD(54, 382) = ( 54 x 382 ) / 10314
GCD(54, 382) = 20628 / 10314
GCD(54, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
GCD(2, 238) = 476 / 238
GCD(2, 238) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
GCD(2, 744) = 1488 / 744
GCD(2, 744) = 2
GCD of 54, 382, 238, 744 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 382, 238, 744?
GCD of 54, 382, 238, 744 is 2
2. Where do I get the detailed procedure to find GCD of 54, 382, 238, 744?
You can find a detailed procedure to find GCD of 54, 382, 238, 744 on our page.
3. How to find GCD of 54, 382, 238, 744 on a calculator?
You can find the GCD of 54, 382, 238, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.