GCD of 490, 988, 260 Calculator

Given Input numbers are 490, 988, 260

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

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 490, 988, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 988, 260 is 2.

Therefore, GCD of numbers 490, 988, 260 is 2

Given Input Data is 490, 988, 260

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

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 260 is 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(490, 988) = 242060

GCD(490, 988) = ( 490 x 988 ) / 242060

GCD(490, 988) = 484120 / 242060

GCD(490, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 490, 988, 260 is 2

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1. What is the GCD of 490, 988, 260?

GCD of 490, 988, 260 is 2

2. Where do I get the detailed procedure to find GCD of 490, 988, 260?

You can find a detailed procedure to find GCD of 490, 988, 260 on our page.

3. How to find GCD of 490, 988, 260 on a calculator?

You can find the GCD of 490, 988, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.