GCD of 854, 430, 423, 272 Calculator

Given Input numbers are 854, 430, 423, 272

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 854, 430, 423, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 430, 423, 272 is 1.

Therefore, GCD of numbers 854, 430, 423, 272 is 1

Given Input Data is 854, 430, 423, 272

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(854, 430) = 183610

GCD(854, 430) = ( 854 x 430 ) / 183610

GCD(854, 430) = 367220 / 183610

GCD(854, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 854, 430, 423, 272 is 1

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1. What is the GCD of 854, 430, 423, 272?

GCD of 854, 430, 423, 272 is 1

2. Where do I get the detailed procedure to find GCD of 854, 430, 423, 272?

You can find a detailed procedure to find GCD of 854, 430, 423, 272 on our page.

3. How to find GCD of 854, 430, 423, 272 on a calculator?

You can find the GCD of 854, 430, 423, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.