GCD of 285, 530, 280, 550 Calculator

Given Input numbers are 285, 530, 280, 550

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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

Greatest Common Divisior

We found the divisors of 285, 530, 280, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 530, 280, 550 is 5.

Therefore, GCD of numbers 285, 530, 280, 550 is 5

Given Input Data is 285, 530, 280, 550

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(285, 530) = 30210

GCD(285, 530) = ( 285 x 530 ) / 30210

GCD(285, 530) = 151050 / 30210

GCD(285, 530) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 280

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

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

GCD(5, 280) = 1400 / 280

GCD(5, 280) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 550

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

LCM(5, 550) = 550

GCD(5, 550) = ( 5 x 550 ) / 550

GCD(5, 550) = 2750 / 550

GCD(5, 550) = 5

GCD of 285, 530, 280, 550 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 724, 934, 673
• GCD of 352, 884, 154, 893
• GCD of 516, 267, 590, 501
• GCD of 528, 528, 205, 831
• GCD of 211, 615, 285, 915

1. What is the GCD of 285, 530, 280, 550?

GCD of 285, 530, 280, 550 is 5

2. Where do I get the detailed procedure to find GCD of 285, 530, 280, 550?

You can find a detailed procedure to find GCD of 285, 530, 280, 550 on our page.

3. How to find GCD of 285, 530, 280, 550 on a calculator?

You can find the GCD of 285, 530, 280, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.