GCD of 490, 294, 730 Calculator

Given Input numbers are 490, 294, 730

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 490, 294, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 294, 730 is 2.

Therefore, GCD of numbers 490, 294, 730 is 2

Given Input Data is 490, 294, 730

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 730 is 2 x 5 x 73

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, 294) = 1470

GCD(490, 294) = ( 490 x 294 ) / 1470

GCD(490, 294) = 144060 / 1470

GCD(490, 294) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 730

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

LCM(98, 730) = 35770

GCD(98, 730) = ( 98 x 730 ) / 35770

GCD(98, 730) = 71540 / 35770

GCD(98, 730) = 2

GCD of 490, 294, 730 is 2

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1. What is the GCD of 490, 294, 730?

GCD of 490, 294, 730 is 2

2. Where do I get the detailed procedure to find GCD of 490, 294, 730?

You can find a detailed procedure to find GCD of 490, 294, 730 on our page.

3. How to find GCD of 490, 294, 730 on a calculator?

You can find the GCD of 490, 294, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.