GCD of 672, 440, 84, 738 Calculator

Given Input numbers are 672, 440, 84, 738

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 672, 440, 84, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 440, 84, 738 is 2.

Therefore, GCD of numbers 672, 440, 84, 738 is 2

Given Input Data is 672, 440, 84, 738

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 84 is 2 x 2 x 3 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 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 84

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

LCM(8, 84) = 168

GCD(8, 84) = ( 8 x 84 ) / 168

GCD(8, 84) = 672 / 168

GCD(8, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 738

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

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

GCD(4, 738) = 2952 / 1476

GCD(4, 738) = 2

GCD of 672, 440, 84, 738 is 2

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1. What is the GCD of 672, 440, 84, 738?

GCD of 672, 440, 84, 738 is 2

2. Where do I get the detailed procedure to find GCD of 672, 440, 84, 738?

You can find a detailed procedure to find GCD of 672, 440, 84, 738 on our page.

3. How to find GCD of 672, 440, 84, 738 on a calculator?

You can find the GCD of 672, 440, 84, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.