GCD of 348, 672, 72 Calculator

Given Input numbers are 348, 672, 72

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 348, 672, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 672, 72 is 12.

Therefore, GCD of numbers 348, 672, 72 is 12

Given Input Data is 348, 672, 72

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(348, 672) = 19488

GCD(348, 672) = ( 348 x 672 ) / 19488

GCD(348, 672) = 233856 / 19488

GCD(348, 672) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 72

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

LCM(12, 72) = 72

GCD(12, 72) = ( 12 x 72 ) / 72

GCD(12, 72) = 864 / 72

GCD(12, 72) = 12

GCD of 348, 672, 72 is 12

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1. What is the GCD of 348, 672, 72?

GCD of 348, 672, 72 is 12

2. Where do I get the detailed procedure to find GCD of 348, 672, 72?

You can find a detailed procedure to find GCD of 348, 672, 72 on our page.

3. How to find GCD of 348, 672, 72 on a calculator?

You can find the GCD of 348, 672, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.