GCD of 342, 358, 300, 549 Calculator

Given Input numbers are 342, 358, 300, 549

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 342, 358, 300, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 358, 300, 549 is 1.

Therefore, GCD of numbers 342, 358, 300, 549 is 1

Given Input Data is 342, 358, 300, 549

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 358 is 2 x 179

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 549 is 3 x 3 x 61

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(342, 358) = 61218

GCD(342, 358) = ( 342 x 358 ) / 61218

GCD(342, 358) = 122436 / 61218

GCD(342, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 549

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

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

GCD(2, 549) = 1098 / 1098

GCD(2, 549) = 1

GCD of 342, 358, 300, 549 is 1

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• GCD of 149, 918, 373, 469
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1. What is the GCD of 342, 358, 300, 549?

GCD of 342, 358, 300, 549 is 1

2. Where do I get the detailed procedure to find GCD of 342, 358, 300, 549?

You can find a detailed procedure to find GCD of 342, 358, 300, 549 on our page.

3. How to find GCD of 342, 358, 300, 549 on a calculator?

You can find the GCD of 342, 358, 300, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.