GCD of 238, 542, 78, 283 Calculator

Given Input numbers are 238, 542, 78, 283

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 542

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

1, 2, 271, 542

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 238, 542, 78, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 542, 78, 283 is 1.

Therefore, GCD of numbers 238, 542, 78, 283 is 1

Given Input Data is 238, 542, 78, 283

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 542 is 2 x 271

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 283 is 283

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(238, 542) = 64498

GCD(238, 542) = ( 238 x 542 ) / 64498

GCD(238, 542) = 128996 / 64498

GCD(238, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 283

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

LCM(2, 283) = 566

GCD(2, 283) = ( 2 x 283 ) / 566

GCD(2, 283) = 566 / 566

GCD(2, 283) = 1

GCD of 238, 542, 78, 283 is 1

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• GCD of 268, 473, 57, 893
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• GCD of 210, 411, 75, 689

1. What is the GCD of 238, 542, 78, 283?

GCD of 238, 542, 78, 283 is 1

2. Where do I get the detailed procedure to find GCD of 238, 542, 78, 283?

You can find a detailed procedure to find GCD of 238, 542, 78, 283 on our page.

3. How to find GCD of 238, 542, 78, 283 on a calculator?

You can find the GCD of 238, 542, 78, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.