GCD of 429, 272, 819, 124 Calculator

Given Input numbers are 429, 272, 819, 124

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 429, 272, 819, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 272, 819, 124 is 1.

Therefore, GCD of numbers 429, 272, 819, 124 is 1

Given Input Data is 429, 272, 819, 124

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

Prime Factorization of 429 is 3 x 11 x 13

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 124 is 2 x 2 x 31

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(429, 272) = 116688

GCD(429, 272) = ( 429 x 272 ) / 116688

GCD(429, 272) = 116688 / 116688

GCD(429, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 429, 272, 819, 124 is 1

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1. What is the GCD of 429, 272, 819, 124?

GCD of 429, 272, 819, 124 is 1

2. Where do I get the detailed procedure to find GCD of 429, 272, 819, 124?

You can find a detailed procedure to find GCD of 429, 272, 819, 124 on our page.

3. How to find GCD of 429, 272, 819, 124 on a calculator?

You can find the GCD of 429, 272, 819, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.