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 474, 126, 44, 344 i.e. 2 largest integer that divides all the numbers equally.
GCD of 474, 126, 44, 344 is 2
GCD(474, 126, 44, 344) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 126, 44, 344 is 2
GCD(474, 126, 44, 344) = 2
Given Input numbers are 474, 126, 44, 344
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Greatest Common Divisior
We found the divisors of 474, 126, 44, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 126, 44, 344 is 2.
Therefore, GCD of numbers 474, 126, 44, 344 is 2
Given Input Data is 474, 126, 44, 344
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 344 is 2 x 2 x 2 x 43
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(474, 126) = 9954
GCD(474, 126) = ( 474 x 126 ) / 9954
GCD(474, 126) = 59724 / 9954
GCD(474, 126) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 44) = 132
GCD(6, 44) = ( 6 x 44 ) / 132
GCD(6, 44) = 264 / 132
GCD(6, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
GCD(2, 344) = 688 / 344
GCD(2, 344) = 2
GCD of 474, 126, 44, 344 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 126, 44, 344?
GCD of 474, 126, 44, 344 is 2
2. Where do I get the detailed procedure to find GCD of 474, 126, 44, 344?
You can find a detailed procedure to find GCD of 474, 126, 44, 344 on our page.
3. How to find GCD of 474, 126, 44, 344 on a calculator?
You can find the GCD of 474, 126, 44, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.