GCD of 283, 542, 598, 402 Calculator

Given Input numbers are 283, 542, 598, 402

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

Divisors of 283

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

1, 283

Divisors of 542

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

1, 2, 271, 542

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 283, 542, 598, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 542, 598, 402 is 1.

Therefore, GCD of numbers 283, 542, 598, 402 is 1

Given Input Data is 283, 542, 598, 402

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

Prime Factorization of 283 is 283

Prime Factorization of 542 is 2 x 271

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 402 is 2 x 3 x 67

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(283, 542) = 153386

GCD(283, 542) = ( 283 x 542 ) / 153386

GCD(283, 542) = 153386 / 153386

GCD(283, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 283, 542, 598, 402 is 1

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1. What is the GCD of 283, 542, 598, 402?

GCD of 283, 542, 598, 402 is 1

2. Where do I get the detailed procedure to find GCD of 283, 542, 598, 402?

You can find a detailed procedure to find GCD of 283, 542, 598, 402 on our page.

3. How to find GCD of 283, 542, 598, 402 on a calculator?

You can find the GCD of 283, 542, 598, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.