GCD of 989, 307, 297, 802 Calculator

Given Input numbers are 989, 307, 297, 802

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 297

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

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 989, 307, 297, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 307, 297, 802 is 1.

Therefore, GCD of numbers 989, 307, 297, 802 is 1

Given Input Data is 989, 307, 297, 802

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 307 is 307

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

Prime Factorization of 802 is 2 x 401

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(989, 307) = 303623

GCD(989, 307) = ( 989 x 307 ) / 303623

GCD(989, 307) = 303623 / 303623

GCD(989, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 989, 307, 297, 802 is 1

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1. What is the GCD of 989, 307, 297, 802?

GCD of 989, 307, 297, 802 is 1

2. Where do I get the detailed procedure to find GCD of 989, 307, 297, 802?

You can find a detailed procedure to find GCD of 989, 307, 297, 802 on our page.

3. How to find GCD of 989, 307, 297, 802 on a calculator?

You can find the GCD of 989, 307, 297, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.