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 404, 270, 501, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 270, 501, 272 is 1
GCD(404, 270, 501, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 270, 501, 272 is 1
GCD(404, 270, 501, 272) = 1
Given Input numbers are 404, 270, 501, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
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 404, 270, 501, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 270, 501, 272 is 1.
Therefore, GCD of numbers 404, 270, 501, 272 is 1
Given Input Data is 404, 270, 501, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 501 is 3 x 167
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(404, 270) = 54540
GCD(404, 270) = ( 404 x 270 ) / 54540
GCD(404, 270) = 109080 / 54540
GCD(404, 270) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 501) = 1002
GCD(2, 501) = ( 2 x 501 ) / 1002
GCD(2, 501) = 1002 / 1002
GCD(2, 501) = 1
Step3:
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
GCD of 404, 270, 501, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 270, 501, 272?
GCD of 404, 270, 501, 272 is 1
2. Where do I get the detailed procedure to find GCD of 404, 270, 501, 272?
You can find a detailed procedure to find GCD of 404, 270, 501, 272 on our page.
3. How to find GCD of 404, 270, 501, 272 on a calculator?
You can find the GCD of 404, 270, 501, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.