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 535, 180, 432, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 180, 432, 272 is 1
GCD(535, 180, 432, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 180, 432, 272 is 1
GCD(535, 180, 432, 272) = 1
Given Input numbers are 535, 180, 432, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 535, 180, 432, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 180, 432, 272 is 1.
Therefore, GCD of numbers 535, 180, 432, 272 is 1
Given Input Data is 535, 180, 432, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(535, 180) = 19260
GCD(535, 180) = ( 535 x 180 ) / 19260
GCD(535, 180) = 96300 / 19260
GCD(535, 180) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 432) = 2160
GCD(5, 432) = ( 5 x 432 ) / 2160
GCD(5, 432) = 2160 / 2160
GCD(5, 432) = 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 535, 180, 432, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 180, 432, 272?
GCD of 535, 180, 432, 272 is 1
2. Where do I get the detailed procedure to find GCD of 535, 180, 432, 272?
You can find a detailed procedure to find GCD of 535, 180, 432, 272 on our page.
3. How to find GCD of 535, 180, 432, 272 on a calculator?
You can find the GCD of 535, 180, 432, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.