GCD of 312, 843, 672, 257 Calculator

Given Input numbers are 312, 843, 672, 257

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 312, 843, 672, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 843, 672, 257 is 1.

Therefore, GCD of numbers 312, 843, 672, 257 is 1

Given Input Data is 312, 843, 672, 257

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 843 is 3 x 281

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

Prime Factorization of 257 is 257

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, 843) = 87672

GCD(312, 843) = ( 312 x 843 ) / 87672

GCD(312, 843) = 263016 / 87672

GCD(312, 843) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 672

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

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

GCD(3, 672) = 2016 / 672

GCD(3, 672) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 257

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

LCM(3, 257) = 771

GCD(3, 257) = ( 3 x 257 ) / 771

GCD(3, 257) = 771 / 771

GCD(3, 257) = 1

GCD of 312, 843, 672, 257 is 1

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1. What is the GCD of 312, 843, 672, 257?

GCD of 312, 843, 672, 257 is 1

2. Where do I get the detailed procedure to find GCD of 312, 843, 672, 257?

You can find a detailed procedure to find GCD of 312, 843, 672, 257 on our page.

3. How to find GCD of 312, 843, 672, 257 on a calculator?

You can find the GCD of 312, 843, 672, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.