GCD of 316, 282, 349, 342 Calculator

Given Input numbers are 316, 282, 349, 342

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

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

Greatest Common Divisior

We found the divisors of 316, 282, 349, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 282, 349, 342 is 1.

Therefore, GCD of numbers 316, 282, 349, 342 is 1

Given Input Data is 316, 282, 349, 342

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 349 is 349

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

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(316, 282) = 44556

GCD(316, 282) = ( 316 x 282 ) / 44556

GCD(316, 282) = 89112 / 44556

GCD(316, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 316, 282, 349, 342 is 1

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• GCD of 282, 911, 518, 321
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• GCD of 719, 884, 817, 402

1. What is the GCD of 316, 282, 349, 342?

GCD of 316, 282, 349, 342 is 1

2. Where do I get the detailed procedure to find GCD of 316, 282, 349, 342?

You can find a detailed procedure to find GCD of 316, 282, 349, 342 on our page.

3. How to find GCD of 316, 282, 349, 342 on a calculator?

You can find the GCD of 316, 282, 349, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.