GCD of 325, 546, 429, 312 Calculator

Given Input numbers are 325, 546, 429, 312

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

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 429

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

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 325, 546, 429, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 546, 429, 312 is 13.

Therefore, GCD of numbers 325, 546, 429, 312 is 13

Given Input Data is 325, 546, 429, 312

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

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(325, 546) = 13650

GCD(325, 546) = ( 325 x 546 ) / 13650

GCD(325, 546) = 177450 / 13650

GCD(325, 546) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 429

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

LCM(13, 429) = 429

GCD(13, 429) = ( 13 x 429 ) / 429

GCD(13, 429) = 5577 / 429

GCD(13, 429) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 312

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

LCM(13, 312) = 312

GCD(13, 312) = ( 13 x 312 ) / 312

GCD(13, 312) = 4056 / 312

GCD(13, 312) = 13

GCD of 325, 546, 429, 312 is 13

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• GCD of 755, 320, 150, 511

1. What is the GCD of 325, 546, 429, 312?

GCD of 325, 546, 429, 312 is 13

2. Where do I get the detailed procedure to find GCD of 325, 546, 429, 312?

You can find a detailed procedure to find GCD of 325, 546, 429, 312 on our page.

3. How to find GCD of 325, 546, 429, 312 on a calculator?

You can find the GCD of 325, 546, 429, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.