GCD of 672, 440, 364, 844 Calculator

Given Input numbers are 672, 440, 364, 844

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

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 672, 440, 364, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 440, 364, 844 is 4.

Therefore, GCD of numbers 672, 440, 364, 844 is 4

Given Input Data is 672, 440, 364, 844

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

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 844 is 2 x 2 x 211

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(672, 440) = 36960

GCD(672, 440) = ( 672 x 440 ) / 36960

GCD(672, 440) = 295680 / 36960

GCD(672, 440) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 364

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

LCM(8, 364) = 728

GCD(8, 364) = ( 8 x 364 ) / 728

GCD(8, 364) = 2912 / 728

GCD(8, 364) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 844

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

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

GCD(4, 844) = 3376 / 844

GCD(4, 844) = 4

GCD of 672, 440, 364, 844 is 4

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• GCD of 264, 395, 159, 673
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• GCD of 766, 506, 906, 304

1. What is the GCD of 672, 440, 364, 844?

GCD of 672, 440, 364, 844 is 4

2. Where do I get the detailed procedure to find GCD of 672, 440, 364, 844?

You can find a detailed procedure to find GCD of 672, 440, 364, 844 on our page.

3. How to find GCD of 672, 440, 364, 844 on a calculator?

You can find the GCD of 672, 440, 364, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.