GCD of 716, 208, 672 Calculator

Given Input numbers are 716, 208, 672

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

Greatest Common Divisior

We found the divisors of 716, 208, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 208, 672 is 4.

Therefore, GCD of numbers 716, 208, 672 is 4

Given Input Data is 716, 208, 672

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

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(716, 208) = 37232

GCD(716, 208) = ( 716 x 208 ) / 37232

GCD(716, 208) = 148928 / 37232

GCD(716, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 672

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

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

GCD(4, 672) = 2688 / 672

GCD(4, 672) = 4

GCD of 716, 208, 672 is 4

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1. What is the GCD of 716, 208, 672?

GCD of 716, 208, 672 is 4

2. Where do I get the detailed procedure to find GCD of 716, 208, 672?

You can find a detailed procedure to find GCD of 716, 208, 672 on our page.

3. How to find GCD of 716, 208, 672 on a calculator?

You can find the GCD of 716, 208, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.