GCD of 730, 490, 722 Calculator

Given Input numbers are 730, 490, 722

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

Divisors of 730

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

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

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 730, 490, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 490, 722 is 2.

Therefore, GCD of numbers 730, 490, 722 is 2

Given Input Data is 730, 490, 722

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

Prime Factorization of 730 is 2 x 5 x 73

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

Prime Factorization of 722 is 2 x 19 x 19

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(730, 490) = 35770

GCD(730, 490) = ( 730 x 490 ) / 35770

GCD(730, 490) = 357700 / 35770

GCD(730, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 722

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

LCM(10, 722) = 3610

GCD(10, 722) = ( 10 x 722 ) / 3610

GCD(10, 722) = 7220 / 3610

GCD(10, 722) = 2

GCD of 730, 490, 722 is 2

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1. What is the GCD of 730, 490, 722?

GCD of 730, 490, 722 is 2

2. Where do I get the detailed procedure to find GCD of 730, 490, 722?

You can find a detailed procedure to find GCD of 730, 490, 722 on our page.

3. How to find GCD of 730, 490, 722 on a calculator?

You can find the GCD of 730, 490, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.