GCD of 298, 381, 357, 542 Calculator

Given Input numbers are 298, 381, 357, 542

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

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 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 298, 381, 357, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 381, 357, 542 is 1.

Therefore, GCD of numbers 298, 381, 357, 542 is 1

Given Input Data is 298, 381, 357, 542

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 381 is 3 x 127

Prime Factorization of 357 is 3 x 7 x 17

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(298, 381) = 113538

GCD(298, 381) = ( 298 x 381 ) / 113538

GCD(298, 381) = 113538 / 113538

GCD(298, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 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 298, 381, 357, 542 is 1

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1. What is the GCD of 298, 381, 357, 542?

GCD of 298, 381, 357, 542 is 1

2. Where do I get the detailed procedure to find GCD of 298, 381, 357, 542?

You can find a detailed procedure to find GCD of 298, 381, 357, 542 on our page.

3. How to find GCD of 298, 381, 357, 542 on a calculator?

You can find the GCD of 298, 381, 357, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.