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 244, 674, 54, 854 i.e. 2 largest integer that divides all the numbers equally.
GCD of 244, 674, 54, 854 is 2
GCD(244, 674, 54, 854) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 244, 674, 54, 854 is 2
GCD(244, 674, 54, 854) = 2
Given Input numbers are 244, 674, 54, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 244, 674, 54, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 244, 674, 54, 854 is 2.
Therefore, GCD of numbers 244, 674, 54, 854 is 2
Given Input Data is 244, 674, 54, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 674 is 2 x 337
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 854 is 2 x 7 x 61
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(244, 674) = 82228
GCD(244, 674) = ( 244 x 674 ) / 82228
GCD(244, 674) = 164456 / 82228
GCD(244, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 854) = 854
GCD(2, 854) = ( 2 x 854 ) / 854
GCD(2, 854) = 1708 / 854
GCD(2, 854) = 2
GCD of 244, 674, 54, 854 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 244, 674, 54, 854?
GCD of 244, 674, 54, 854 is 2
2. Where do I get the detailed procedure to find GCD of 244, 674, 54, 854?
You can find a detailed procedure to find GCD of 244, 674, 54, 854 on our page.
3. How to find GCD of 244, 674, 54, 854 on a calculator?
You can find the GCD of 244, 674, 54, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.