GCD of 542, 357, 540, 285 Calculator

Given Input numbers are 542, 357, 540, 285

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 542, 357, 540, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 357, 540, 285 is 1.

Therefore, GCD of numbers 542, 357, 540, 285 is 1

Given Input Data is 542, 357, 540, 285

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 285 is 3 x 5 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(542, 357) = 193494

GCD(542, 357) = ( 542 x 357 ) / 193494

GCD(542, 357) = 193494 / 193494

GCD(542, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 542, 357, 540, 285 is 1

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1. What is the GCD of 542, 357, 540, 285?

GCD of 542, 357, 540, 285 is 1

2. Where do I get the detailed procedure to find GCD of 542, 357, 540, 285?

You can find a detailed procedure to find GCD of 542, 357, 540, 285 on our page.

3. How to find GCD of 542, 357, 540, 285 on a calculator?

You can find the GCD of 542, 357, 540, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.