GCD of 429, 113, 37, 514 Calculator

Given Input numbers are 429, 113, 37, 514

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 429, 113, 37, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 113, 37, 514 is 1.

Therefore, GCD of numbers 429, 113, 37, 514 is 1

Given Input Data is 429, 113, 37, 514

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 113 is 113

Prime Factorization of 37 is 37

Prime Factorization of 514 is 2 x 257

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, 113) = 48477

GCD(429, 113) = ( 429 x 113 ) / 48477

GCD(429, 113) = 48477 / 48477

GCD(429, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 429, 113, 37, 514 is 1

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• GCD of 291, 365, 22, 378
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1. What is the GCD of 429, 113, 37, 514?

GCD of 429, 113, 37, 514 is 1

2. Where do I get the detailed procedure to find GCD of 429, 113, 37, 514?

You can find a detailed procedure to find GCD of 429, 113, 37, 514 on our page.

3. How to find GCD of 429, 113, 37, 514 on a calculator?

You can find the GCD of 429, 113, 37, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.