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 290, 228, 48, 372 i.e. 2 largest integer that divides all the numbers equally.
GCD of 290, 228, 48, 372 is 2
GCD(290, 228, 48, 372) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 228, 48, 372 is 2
GCD(290, 228, 48, 372) = 2
Given Input numbers are 290, 228, 48, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
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 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 290, 228, 48, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 228, 48, 372 is 2.
Therefore, GCD of numbers 290, 228, 48, 372 is 2
Given Input Data is 290, 228, 48, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 372 is 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(290, 228) = 33060
GCD(290, 228) = ( 290 x 228 ) / 33060
GCD(290, 228) = 66120 / 33060
GCD(290, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 372) = 372
GCD(2, 372) = ( 2 x 372 ) / 372
GCD(2, 372) = 744 / 372
GCD(2, 372) = 2
GCD of 290, 228, 48, 372 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 228, 48, 372?
GCD of 290, 228, 48, 372 is 2
2. Where do I get the detailed procedure to find GCD of 290, 228, 48, 372?
You can find a detailed procedure to find GCD of 290, 228, 48, 372 on our page.
3. How to find GCD of 290, 228, 48, 372 on a calculator?
You can find the GCD of 290, 228, 48, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.