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 27, 552, 501, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 552, 501, 136 is 1
GCD(27, 552, 501, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 552, 501, 136 is 1
GCD(27, 552, 501, 136) = 1
Given Input numbers are 27, 552, 501, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 27, 552, 501, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 552, 501, 136 is 1.
Therefore, GCD of numbers 27, 552, 501, 136 is 1
Given Input Data is 27, 552, 501, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 501 is 3 x 167
Prime Factorization of 136 is 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(27, 552) = 4968
GCD(27, 552) = ( 27 x 552 ) / 4968
GCD(27, 552) = 14904 / 4968
GCD(27, 552) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 501) = 501
GCD(3, 501) = ( 3 x 501 ) / 501
GCD(3, 501) = 1503 / 501
GCD(3, 501) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
GCD(3, 136) = 408 / 408
GCD(3, 136) = 1
GCD of 27, 552, 501, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 552, 501, 136?
GCD of 27, 552, 501, 136 is 1
2. Where do I get the detailed procedure to find GCD of 27, 552, 501, 136?
You can find a detailed procedure to find GCD of 27, 552, 501, 136 on our page.
3. How to find GCD of 27, 552, 501, 136 on a calculator?
You can find the GCD of 27, 552, 501, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.