GCD of 143, 364, 15, 312 Calculator

Given Input numbers are 143, 364, 15, 312

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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

Greatest Common Divisior

We found the divisors of 143, 364, 15, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 364, 15, 312 is 1.

Therefore, GCD of numbers 143, 364, 15, 312 is 1

Given Input Data is 143, 364, 15, 312

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 15 is 3 x 5

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

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(143, 364) = 4004

GCD(143, 364) = ( 143 x 364 ) / 4004

GCD(143, 364) = 52052 / 4004

GCD(143, 364) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 15

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

LCM(13, 15) = 195

GCD(13, 15) = ( 13 x 15 ) / 195

GCD(13, 15) = 195 / 195

GCD(13, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 143, 364, 15, 312 is 1

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• GCD of 574, 537, 46, 854
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1. What is the GCD of 143, 364, 15, 312?

GCD of 143, 364, 15, 312 is 1

2. Where do I get the detailed procedure to find GCD of 143, 364, 15, 312?

You can find a detailed procedure to find GCD of 143, 364, 15, 312 on our page.

3. How to find GCD of 143, 364, 15, 312 on a calculator?

You can find the GCD of 143, 364, 15, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.