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 539, 137, 54, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 137, 54, 152 is 1
GCD(539, 137, 54, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 137, 54, 152 is 1
GCD(539, 137, 54, 152) = 1
Given Input numbers are 539, 137, 54, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 539, 137, 54, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 137, 54, 152 is 1.
Therefore, GCD of numbers 539, 137, 54, 152 is 1
Given Input Data is 539, 137, 54, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 137 is 137
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(539, 137) = 73843
GCD(539, 137) = ( 539 x 137 ) / 73843
GCD(539, 137) = 73843 / 73843
GCD(539, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 539, 137, 54, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 137, 54, 152?
GCD of 539, 137, 54, 152 is 1
2. Where do I get the detailed procedure to find GCD of 539, 137, 54, 152?
You can find a detailed procedure to find GCD of 539, 137, 54, 152 on our page.
3. How to find GCD of 539, 137, 54, 152 on a calculator?
You can find the GCD of 539, 137, 54, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.