GCD of 278, 684, 672, 368 Calculator

Given Input numbers are 278, 684, 672, 368

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 278, 684, 672, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 684, 672, 368 is 2.

Therefore, GCD of numbers 278, 684, 672, 368 is 2

Given Input Data is 278, 684, 672, 368

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(278, 684) = 95076

GCD(278, 684) = ( 278 x 684 ) / 95076

GCD(278, 684) = 190152 / 95076

GCD(278, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 278, 684, 672, 368 is 2

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1. What is the GCD of 278, 684, 672, 368?

GCD of 278, 684, 672, 368 is 2

2. Where do I get the detailed procedure to find GCD of 278, 684, 672, 368?

You can find a detailed procedure to find GCD of 278, 684, 672, 368 on our page.

3. How to find GCD of 278, 684, 672, 368 on a calculator?

You can find the GCD of 278, 684, 672, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.