GCD of 434, 730, 99, 130 Calculator

Given Input numbers are 434, 730, 99, 130

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 434, 730, 99, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 730, 99, 130 is 1.

Therefore, GCD of numbers 434, 730, 99, 130 is 1

Given Input Data is 434, 730, 99, 130

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 130 is 2 x 5 x 13

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(434, 730) = 158410

GCD(434, 730) = ( 434 x 730 ) / 158410

GCD(434, 730) = 316820 / 158410

GCD(434, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 434, 730, 99, 130 is 1

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1. What is the GCD of 434, 730, 99, 130?

GCD of 434, 730, 99, 130 is 1

2. Where do I get the detailed procedure to find GCD of 434, 730, 99, 130?

You can find a detailed procedure to find GCD of 434, 730, 99, 130 on our page.

3. How to find GCD of 434, 730, 99, 130 on a calculator?

You can find the GCD of 434, 730, 99, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.