GCD of 870, 609, 902, 490 Calculator

Given Input numbers are 870, 609, 902, 490

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 870, 609, 902, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 609, 902, 490 is 1.

Therefore, GCD of numbers 870, 609, 902, 490 is 1

Given Input Data is 870, 609, 902, 490

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(870, 609) = 6090

GCD(870, 609) = ( 870 x 609 ) / 6090

GCD(870, 609) = 529830 / 6090

GCD(870, 609) = 87

Step2:

Here we consider the GCD from the above i.e. 87 as first number and the next as 902

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

LCM(87, 902) = 78474

GCD(87, 902) = ( 87 x 902 ) / 78474

GCD(87, 902) = 78474 / 78474

GCD(87, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 870, 609, 902, 490 is 1

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1. What is the GCD of 870, 609, 902, 490?

GCD of 870, 609, 902, 490 is 1

2. Where do I get the detailed procedure to find GCD of 870, 609, 902, 490?

You can find a detailed procedure to find GCD of 870, 609, 902, 490 on our page.

3. How to find GCD of 870, 609, 902, 490 on a calculator?

You can find the GCD of 870, 609, 902, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.