GCD of 990, 245, 97, 870 Calculator

Given Input numbers are 990, 245, 97, 870

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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

Greatest Common Divisior

We found the divisors of 990, 245, 97, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 245, 97, 870 is 1.

Therefore, GCD of numbers 990, 245, 97, 870 is 1

Given Input Data is 990, 245, 97, 870

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 97 is 97

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

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(990, 245) = 48510

GCD(990, 245) = ( 990 x 245 ) / 48510

GCD(990, 245) = 242550 / 48510

GCD(990, 245) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 97

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

LCM(5, 97) = 485

GCD(5, 97) = ( 5 x 97 ) / 485

GCD(5, 97) = 485 / 485

GCD(5, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 990, 245, 97, 870 is 1

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1. What is the GCD of 990, 245, 97, 870?

GCD of 990, 245, 97, 870 is 1

2. Where do I get the detailed procedure to find GCD of 990, 245, 97, 870?

You can find a detailed procedure to find GCD of 990, 245, 97, 870 on our page.

3. How to find GCD of 990, 245, 97, 870 on a calculator?

You can find the GCD of 990, 245, 97, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.