GCD of 987, 546, 324, 781 Calculator

Given Input numbers are 987, 546, 324, 781

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 987, 546, 324, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 546, 324, 781 is 1.

Therefore, GCD of numbers 987, 546, 324, 781 is 1

Given Input Data is 987, 546, 324, 781

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 781 is 11 x 71

The above numbers do not have any common prime factor. So GCD is 1

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, 546) = 25662

GCD(987, 546) = ( 987 x 546 ) / 25662

GCD(987, 546) = 538902 / 25662

GCD(987, 546) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 324

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

LCM(21, 324) = 2268

GCD(21, 324) = ( 21 x 324 ) / 2268

GCD(21, 324) = 6804 / 2268

GCD(21, 324) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 781

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

LCM(3, 781) = 2343

GCD(3, 781) = ( 3 x 781 ) / 2343

GCD(3, 781) = 2343 / 2343

GCD(3, 781) = 1

GCD of 987, 546, 324, 781 is 1

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1. What is the GCD of 987, 546, 324, 781?

GCD of 987, 546, 324, 781 is 1

2. Where do I get the detailed procedure to find GCD of 987, 546, 324, 781?

You can find a detailed procedure to find GCD of 987, 546, 324, 781 on our page.

3. How to find GCD of 987, 546, 324, 781 on a calculator?

You can find the GCD of 987, 546, 324, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.