GCD of 550, 300, 985, 287 Calculator

Given Input numbers are 550, 300, 985, 287

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 550, 300, 985, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 300, 985, 287 is 1.

Therefore, GCD of numbers 550, 300, 985, 287 is 1

Given Input Data is 550, 300, 985, 287

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 985 is 5 x 197

Prime Factorization of 287 is 7 x 41

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(550, 300) = 3300

GCD(550, 300) = ( 550 x 300 ) / 3300

GCD(550, 300) = 165000 / 3300

GCD(550, 300) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 985

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

LCM(50, 985) = 9850

GCD(50, 985) = ( 50 x 985 ) / 9850

GCD(50, 985) = 49250 / 9850

GCD(50, 985) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 287

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

LCM(5, 287) = 1435

GCD(5, 287) = ( 5 x 287 ) / 1435

GCD(5, 287) = 1435 / 1435

GCD(5, 287) = 1

GCD of 550, 300, 985, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 260, 662, 479
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1. What is the GCD of 550, 300, 985, 287?

GCD of 550, 300, 985, 287 is 1

2. Where do I get the detailed procedure to find GCD of 550, 300, 985, 287?

You can find a detailed procedure to find GCD of 550, 300, 985, 287 on our page.

3. How to find GCD of 550, 300, 985, 287 on a calculator?

You can find the GCD of 550, 300, 985, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.