GCD of 429, 258, 125, 943 Calculator

Given Input numbers are 429, 258, 125, 943

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 429, 258, 125, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 258, 125, 943 is 1.

Therefore, GCD of numbers 429, 258, 125, 943 is 1

Given Input Data is 429, 258, 125, 943

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 258 is 2 x 3 x 43

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 943 is 23 x 41

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, 258) = 36894

GCD(429, 258) = ( 429 x 258 ) / 36894

GCD(429, 258) = 110682 / 36894

GCD(429, 258) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 125

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

LCM(3, 125) = 375

GCD(3, 125) = ( 3 x 125 ) / 375

GCD(3, 125) = 375 / 375

GCD(3, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 429, 258, 125, 943 is 1

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1. What is the GCD of 429, 258, 125, 943?

GCD of 429, 258, 125, 943 is 1

2. Where do I get the detailed procedure to find GCD of 429, 258, 125, 943?

You can find a detailed procedure to find GCD of 429, 258, 125, 943 on our page.

3. How to find GCD of 429, 258, 125, 943 on a calculator?

You can find the GCD of 429, 258, 125, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.