GCD of 987, 679, 382, 649 Calculator

Given Input numbers are 987, 679, 382, 649

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 987, 679, 382, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 679, 382, 649 is 1.

Therefore, GCD of numbers 987, 679, 382, 649 is 1

Given Input Data is 987, 679, 382, 649

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 679 is 7 x 97

Prime Factorization of 382 is 2 x 191

Prime Factorization of 649 is 11 x 59

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, 679) = 95739

GCD(987, 679) = ( 987 x 679 ) / 95739

GCD(987, 679) = 670173 / 95739

GCD(987, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 382

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

LCM(7, 382) = 2674

GCD(7, 382) = ( 7 x 382 ) / 2674

GCD(7, 382) = 2674 / 2674

GCD(7, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 987, 679, 382, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 182, 565, 947
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• GCD of 848, 671, 383, 899

1. What is the GCD of 987, 679, 382, 649?

GCD of 987, 679, 382, 649 is 1

2. Where do I get the detailed procedure to find GCD of 987, 679, 382, 649?

You can find a detailed procedure to find GCD of 987, 679, 382, 649 on our page.

3. How to find GCD of 987, 679, 382, 649 on a calculator?

You can find the GCD of 987, 679, 382, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.