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 502, 442, 272 i.e. 2 largest integer that divides all the numbers equally.
GCD of 502, 442, 272 is 2
GCD(502, 442, 272) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 442, 272 is 2
GCD(502, 442, 272) = 2
Given Input numbers are 502, 442, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 502, 442, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 442, 272 is 2.
Therefore, GCD of numbers 502, 442, 272 is 2
Given Input Data is 502, 442, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(502, 442) = 110942
GCD(502, 442) = ( 502 x 442 ) / 110942
GCD(502, 442) = 221884 / 110942
GCD(502, 442) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
GCD of 502, 442, 272 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 442, 272?
GCD of 502, 442, 272 is 2
2. Where do I get the detailed procedure to find GCD of 502, 442, 272?
You can find a detailed procedure to find GCD of 502, 442, 272 on our page.
3. How to find GCD of 502, 442, 272 on a calculator?
You can find the GCD of 502, 442, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.