GCD of 880, 285, 210 Calculator

Given Input numbers are 880, 285, 210

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 880, 285, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 285, 210 is 5.

Therefore, GCD of numbers 880, 285, 210 is 5

Given Input Data is 880, 285, 210

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(880, 285) = 50160

GCD(880, 285) = ( 880 x 285 ) / 50160

GCD(880, 285) = 250800 / 50160

GCD(880, 285) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 210

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

LCM(5, 210) = 210

GCD(5, 210) = ( 5 x 210 ) / 210

GCD(5, 210) = 1050 / 210

GCD(5, 210) = 5

GCD of 880, 285, 210 is 5

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1. What is the GCD of 880, 285, 210?

GCD of 880, 285, 210 is 5

2. Where do I get the detailed procedure to find GCD of 880, 285, 210?

You can find a detailed procedure to find GCD of 880, 285, 210 on our page.

3. How to find GCD of 880, 285, 210 on a calculator?

You can find the GCD of 880, 285, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.