GCD of 730, 685, 410 Calculator

Given Input numbers are 730, 685, 410

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 730, 685, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 685, 410 is 5.

Therefore, GCD of numbers 730, 685, 410 is 5

Given Input Data is 730, 685, 410

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 685 is 5 x 137

Prime Factorization of 410 is 2 x 5 x 41

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 685) = 100010

GCD(730, 685) = ( 730 x 685 ) / 100010

GCD(730, 685) = 500050 / 100010

GCD(730, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 410

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

LCM(5, 410) = 410

GCD(5, 410) = ( 5 x 410 ) / 410

GCD(5, 410) = 2050 / 410

GCD(5, 410) = 5

GCD of 730, 685, 410 is 5

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1. What is the GCD of 730, 685, 410?

GCD of 730, 685, 410 is 5

2. Where do I get the detailed procedure to find GCD of 730, 685, 410?

You can find a detailed procedure to find GCD of 730, 685, 410 on our page.

3. How to find GCD of 730, 685, 410 on a calculator?

You can find the GCD of 730, 685, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.