GCD of 672, 372, 78, 604 Calculator

Given Input numbers are 672, 372, 78, 604

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 672, 372, 78, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 372, 78, 604 is 2.

Therefore, GCD of numbers 672, 372, 78, 604 is 2

Given Input Data is 672, 372, 78, 604

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 604 is 2 x 2 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 372) = 20832

GCD(672, 372) = ( 672 x 372 ) / 20832

GCD(672, 372) = 249984 / 20832

GCD(672, 372) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 78

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

LCM(12, 78) = 156

GCD(12, 78) = ( 12 x 78 ) / 156

GCD(12, 78) = 936 / 156

GCD(12, 78) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 604

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

LCM(6, 604) = 1812

GCD(6, 604) = ( 6 x 604 ) / 1812

GCD(6, 604) = 3624 / 1812

GCD(6, 604) = 2

GCD of 672, 372, 78, 604 is 2

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1. What is the GCD of 672, 372, 78, 604?

GCD of 672, 372, 78, 604 is 2

2. Where do I get the detailed procedure to find GCD of 672, 372, 78, 604?

You can find a detailed procedure to find GCD of 672, 372, 78, 604 on our page.

3. How to find GCD of 672, 372, 78, 604 on a calculator?

You can find the GCD of 672, 372, 78, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.