GCD of 430, 270, 76, 391 Calculator

Given Input numbers are 430, 270, 76, 391

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 430, 270, 76, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 270, 76, 391 is 1.

Therefore, GCD of numbers 430, 270, 76, 391 is 1

Given Input Data is 430, 270, 76, 391

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 391 is 17 x 23

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(430, 270) = 11610

GCD(430, 270) = ( 430 x 270 ) / 11610

GCD(430, 270) = 116100 / 11610

GCD(430, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 76

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

LCM(10, 76) = 380

GCD(10, 76) = ( 10 x 76 ) / 380

GCD(10, 76) = 760 / 380

GCD(10, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

GCD of 430, 270, 76, 391 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 669, 15, 148
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• GCD of 671, 628, 49, 127

1. What is the GCD of 430, 270, 76, 391?

GCD of 430, 270, 76, 391 is 1

2. Where do I get the detailed procedure to find GCD of 430, 270, 76, 391?

You can find a detailed procedure to find GCD of 430, 270, 76, 391 on our page.

3. How to find GCD of 430, 270, 76, 391 on a calculator?

You can find the GCD of 430, 270, 76, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.