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 572, 258, 52, 376 i.e. 2 largest integer that divides all the numbers equally.
GCD of 572, 258, 52, 376 is 2
GCD(572, 258, 52, 376) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 258, 52, 376 is 2
GCD(572, 258, 52, 376) = 2
Given Input numbers are 572, 258, 52, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 572, 258, 52, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 258, 52, 376 is 2.
Therefore, GCD of numbers 572, 258, 52, 376 is 2
Given Input Data is 572, 258, 52, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(572, 258) = 73788
GCD(572, 258) = ( 572 x 258 ) / 73788
GCD(572, 258) = 147576 / 73788
GCD(572, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 376) = 376
GCD(2, 376) = ( 2 x 376 ) / 376
GCD(2, 376) = 752 / 376
GCD(2, 376) = 2
GCD of 572, 258, 52, 376 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 258, 52, 376?
GCD of 572, 258, 52, 376 is 2
2. Where do I get the detailed procedure to find GCD of 572, 258, 52, 376?
You can find a detailed procedure to find GCD of 572, 258, 52, 376 on our page.
3. How to find GCD of 572, 258, 52, 376 on a calculator?
You can find the GCD of 572, 258, 52, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.