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 938, 228, 26, 974 i.e. 2 largest integer that divides all the numbers equally.
GCD of 938, 228, 26, 974 is 2
GCD(938, 228, 26, 974) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 938, 228, 26, 974 is 2
GCD(938, 228, 26, 974) = 2
Given Input numbers are 938, 228, 26, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 938, 228, 26, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 228, 26, 974 is 2.
Therefore, GCD of numbers 938, 228, 26, 974 is 2
Given Input Data is 938, 228, 26, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 26 is 2 x 13
Prime Factorization of 974 is 2 x 487
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(938, 228) = 106932
GCD(938, 228) = ( 938 x 228 ) / 106932
GCD(938, 228) = 213864 / 106932
GCD(938, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
GCD(2, 974) = 1948 / 974
GCD(2, 974) = 2
GCD of 938, 228, 26, 974 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 938, 228, 26, 974?
GCD of 938, 228, 26, 974 is 2
2. Where do I get the detailed procedure to find GCD of 938, 228, 26, 974?
You can find a detailed procedure to find GCD of 938, 228, 26, 974 on our page.
3. How to find GCD of 938, 228, 26, 974 on a calculator?
You can find the GCD of 938, 228, 26, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.