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 338, 746, 30, 284 i.e. 2 largest integer that divides all the numbers equally.
GCD of 338, 746, 30, 284 is 2
GCD(338, 746, 30, 284) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 746, 30, 284 is 2
GCD(338, 746, 30, 284) = 2
Given Input numbers are 338, 746, 30, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 338, 746, 30, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 746, 30, 284 is 2.
Therefore, GCD of numbers 338, 746, 30, 284 is 2
Given Input Data is 338, 746, 30, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 746 is 2 x 373
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 284 is 2 x 2 x 71
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(338, 746) = 126074
GCD(338, 746) = ( 338 x 746 ) / 126074
GCD(338, 746) = 252148 / 126074
GCD(338, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
GCD(2, 284) = 568 / 284
GCD(2, 284) = 2
GCD of 338, 746, 30, 284 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 746, 30, 284?
GCD of 338, 746, 30, 284 is 2
2. Where do I get the detailed procedure to find GCD of 338, 746, 30, 284?
You can find a detailed procedure to find GCD of 338, 746, 30, 284 on our page.
3. How to find GCD of 338, 746, 30, 284 on a calculator?
You can find the GCD of 338, 746, 30, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.