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 438, 209, 272, 492 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 209, 272, 492 is 1
GCD(438, 209, 272, 492) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 209, 272, 492 is 1
GCD(438, 209, 272, 492) = 1
Given Input numbers are 438, 209, 272, 492
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
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
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Greatest Common Divisior
We found the divisors of 438, 209, 272, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 209, 272, 492 is 1.
Therefore, GCD of numbers 438, 209, 272, 492 is 1
Given Input Data is 438, 209, 272, 492
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 209 is 11 x 19
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 492 is 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
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(438, 209) = 91542
GCD(438, 209) = ( 438 x 209 ) / 91542
GCD(438, 209) = 91542 / 91542
GCD(438, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
GCD of 438, 209, 272, 492 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 209, 272, 492?
GCD of 438, 209, 272, 492 is 1
2. Where do I get the detailed procedure to find GCD of 438, 209, 272, 492?
You can find a detailed procedure to find GCD of 438, 209, 272, 492 on our page.
3. How to find GCD of 438, 209, 272, 492 on a calculator?
You can find the GCD of 438, 209, 272, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.