GCD of 391, 672, 14, 567 Calculator

Given Input numbers are 391, 672, 14, 567

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 391, 672, 14, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 672, 14, 567 is 1.

Therefore, GCD of numbers 391, 672, 14, 567 is 1

Given Input Data is 391, 672, 14, 567

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 567 is 3 x 3 x 3 x 3 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(391, 672) = 262752

GCD(391, 672) = ( 391 x 672 ) / 262752

GCD(391, 672) = 262752 / 262752

GCD(391, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 391, 672, 14, 567 is 1

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1. What is the GCD of 391, 672, 14, 567?

GCD of 391, 672, 14, 567 is 1

2. Where do I get the detailed procedure to find GCD of 391, 672, 14, 567?

You can find a detailed procedure to find GCD of 391, 672, 14, 567 on our page.

3. How to find GCD of 391, 672, 14, 567 on a calculator?

You can find the GCD of 391, 672, 14, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.