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 590, 644, 38, 352 i.e. 2 largest integer that divides all the numbers equally.
GCD of 590, 644, 38, 352 is 2
GCD(590, 644, 38, 352) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 644, 38, 352 is 2
GCD(590, 644, 38, 352) = 2
Given Input numbers are 590, 644, 38, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 590, 644, 38, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 644, 38, 352 is 2.
Therefore, GCD of numbers 590, 644, 38, 352 is 2
Given Input Data is 590, 644, 38, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 38 is 2 x 19
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(590, 644) = 189980
GCD(590, 644) = ( 590 x 644 ) / 189980
GCD(590, 644) = 379960 / 189980
GCD(590, 644) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
GCD(2, 352) = 704 / 352
GCD(2, 352) = 2
GCD of 590, 644, 38, 352 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 644, 38, 352?
GCD of 590, 644, 38, 352 is 2
2. Where do I get the detailed procedure to find GCD of 590, 644, 38, 352?
You can find a detailed procedure to find GCD of 590, 644, 38, 352 on our page.
3. How to find GCD of 590, 644, 38, 352 on a calculator?
You can find the GCD of 590, 644, 38, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.