GCD of 987, 672, 294, 297 Calculator

Given Input numbers are 987, 672, 294, 297

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 987, 672, 294, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 672, 294, 297 is 3.

Therefore, GCD of numbers 987, 672, 294, 297 is 3

Given Input Data is 987, 672, 294, 297

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

Prime Factorization of 987 is 3 x 7 x 47

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 297 is 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(987, 672) = 31584

GCD(987, 672) = ( 987 x 672 ) / 31584

GCD(987, 672) = 663264 / 31584

GCD(987, 672) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 294

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

LCM(21, 294) = 294

GCD(21, 294) = ( 21 x 294 ) / 294

GCD(21, 294) = 6174 / 294

GCD(21, 294) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 297

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

LCM(21, 297) = 2079

GCD(21, 297) = ( 21 x 297 ) / 2079

GCD(21, 297) = 6237 / 2079

GCD(21, 297) = 3

GCD of 987, 672, 294, 297 is 3

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1. What is the GCD of 987, 672, 294, 297?

GCD of 987, 672, 294, 297 is 3

2. Where do I get the detailed procedure to find GCD of 987, 672, 294, 297?

You can find a detailed procedure to find GCD of 987, 672, 294, 297 on our page.

3. How to find GCD of 987, 672, 294, 297 on a calculator?

You can find the GCD of 987, 672, 294, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.