GCD of 57, 236, 825, 542 Calculator

Given Input numbers are 57, 236, 825, 542

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 57, 236, 825, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 236, 825, 542 is 1.

Therefore, GCD of numbers 57, 236, 825, 542 is 1

Given Input Data is 57, 236, 825, 542

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 57 is 3 x 19

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 542 is 2 x 271

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(57, 236) = 13452

GCD(57, 236) = ( 57 x 236 ) / 13452

GCD(57, 236) = 13452 / 13452

GCD(57, 236) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 57, 236, 825, 542 is 1

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1. What is the GCD of 57, 236, 825, 542?

GCD of 57, 236, 825, 542 is 1

2. Where do I get the detailed procedure to find GCD of 57, 236, 825, 542?

You can find a detailed procedure to find GCD of 57, 236, 825, 542 on our page.

3. How to find GCD of 57, 236, 825, 542 on a calculator?

You can find the GCD of 57, 236, 825, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.