GCD of 987, 288, 849, 769 Calculator

Given Input numbers are 987, 288, 849, 769

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 987, 288, 849, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 288, 849, 769 is 1.

Therefore, GCD of numbers 987, 288, 849, 769 is 1

Given Input Data is 987, 288, 849, 769

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 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 849 is 3 x 283

Prime Factorization of 769 is 769

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, 288) = 94752

GCD(987, 288) = ( 987 x 288 ) / 94752

GCD(987, 288) = 284256 / 94752

GCD(987, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 769

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

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

GCD(3, 769) = 2307 / 2307

GCD(3, 769) = 1

GCD of 987, 288, 849, 769 is 1

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1. What is the GCD of 987, 288, 849, 769?

GCD of 987, 288, 849, 769 is 1

2. Where do I get the detailed procedure to find GCD of 987, 288, 849, 769?

You can find a detailed procedure to find GCD of 987, 288, 849, 769 on our page.

3. How to find GCD of 987, 288, 849, 769 on a calculator?

You can find the GCD of 987, 288, 849, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.