GCD of 84, 682, 390, 672 Calculator

Given Input numbers are 84, 682, 390, 672

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

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 84, 682, 390, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 682, 390, 672 is 2.

Therefore, GCD of numbers 84, 682, 390, 672 is 2

Given Input Data is 84, 682, 390, 672

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 390 is 2 x 3 x 5 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 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(84, 682) = 28644

GCD(84, 682) = ( 84 x 682 ) / 28644

GCD(84, 682) = 57288 / 28644

GCD(84, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

Step3:

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

GCD of 84, 682, 390, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 704, 981, 427
• GCD of 53, 792, 963, 412
• GCD of 42, 809, 335, 228
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• GCD of 90, 582, 217, 372

1. What is the GCD of 84, 682, 390, 672?

GCD of 84, 682, 390, 672 is 2

2. Where do I get the detailed procedure to find GCD of 84, 682, 390, 672?

You can find a detailed procedure to find GCD of 84, 682, 390, 672 on our page.

3. How to find GCD of 84, 682, 390, 672 on a calculator?

You can find the GCD of 84, 682, 390, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.