GCD of 114, 298, 39, 588 Calculator

Given Input numbers are 114, 298, 39, 588

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 298

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

1, 2, 149, 298

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 114, 298, 39, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 298, 39, 588 is 1.

Therefore, GCD of numbers 114, 298, 39, 588 is 1

Given Input Data is 114, 298, 39, 588

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 39 is 3 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(114, 298) = 16986

GCD(114, 298) = ( 114 x 298 ) / 16986

GCD(114, 298) = 33972 / 16986

GCD(114, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 114, 298, 39, 588 is 1

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• GCD of 917, 202, 72, 868
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1. What is the GCD of 114, 298, 39, 588?

GCD of 114, 298, 39, 588 is 1

2. Where do I get the detailed procedure to find GCD of 114, 298, 39, 588?

You can find a detailed procedure to find GCD of 114, 298, 39, 588 on our page.

3. How to find GCD of 114, 298, 39, 588 on a calculator?

You can find the GCD of 114, 298, 39, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.