GCD of 312, 302, 675, 382 Calculator

Given Input numbers are 312, 302, 675, 382

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 312, 302, 675, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 302, 675, 382 is 1.

Therefore, GCD of numbers 312, 302, 675, 382 is 1

Given Input Data is 312, 302, 675, 382

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 302 is 2 x 151

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 382 is 2 x 191

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(312, 302) = 47112

GCD(312, 302) = ( 312 x 302 ) / 47112

GCD(312, 302) = 94224 / 47112

GCD(312, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 312, 302, 675, 382 is 1

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• GCD of 722, 585, 165, 288
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• GCD of 171, 165, 980, 141

1. What is the GCD of 312, 302, 675, 382?

GCD of 312, 302, 675, 382 is 1

2. Where do I get the detailed procedure to find GCD of 312, 302, 675, 382?

You can find a detailed procedure to find GCD of 312, 302, 675, 382 on our page.

3. How to find GCD of 312, 302, 675, 382 on a calculator?

You can find the GCD of 312, 302, 675, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.