GCD of 429, 546, 845, 138 Calculator

Given Input numbers are 429, 546, 845, 138

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 429, 546, 845, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 546, 845, 138 is 1.

Therefore, GCD of numbers 429, 546, 845, 138 is 1

Given Input Data is 429, 546, 845, 138

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 138 is 2 x 3 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(429, 546) = 6006

GCD(429, 546) = ( 429 x 546 ) / 6006

GCD(429, 546) = 234234 / 6006

GCD(429, 546) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 845

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

LCM(39, 845) = 2535

GCD(39, 845) = ( 39 x 845 ) / 2535

GCD(39, 845) = 32955 / 2535

GCD(39, 845) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 138

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

LCM(13, 138) = 1794

GCD(13, 138) = ( 13 x 138 ) / 1794

GCD(13, 138) = 1794 / 1794

GCD(13, 138) = 1

GCD of 429, 546, 845, 138 is 1

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1. What is the GCD of 429, 546, 845, 138?

GCD of 429, 546, 845, 138 is 1

2. Where do I get the detailed procedure to find GCD of 429, 546, 845, 138?

You can find a detailed procedure to find GCD of 429, 546, 845, 138 on our page.

3. How to find GCD of 429, 546, 845, 138 on a calculator?

You can find the GCD of 429, 546, 845, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.