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 52, 294, 201, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 294, 201, 538 is 1
GCD(52, 294, 201, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 294, 201, 538 is 1
GCD(52, 294, 201, 538) = 1
Given Input numbers are 52, 294, 201, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 52, 294, 201, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 294, 201, 538 is 1.
Therefore, GCD of numbers 52, 294, 201, 538 is 1
Given Input Data is 52, 294, 201, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 201 is 3 x 67
Prime Factorization of 538 is 2 x 269
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(52, 294) = 7644
GCD(52, 294) = ( 52 x 294 ) / 7644
GCD(52, 294) = 15288 / 7644
GCD(52, 294) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 52, 294, 201, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 294, 201, 538?
GCD of 52, 294, 201, 538 is 1
2. Where do I get the detailed procedure to find GCD of 52, 294, 201, 538?
You can find a detailed procedure to find GCD of 52, 294, 201, 538 on our page.
3. How to find GCD of 52, 294, 201, 538 on a calculator?
You can find the GCD of 52, 294, 201, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.