GCD of 324, 801, 48, 858 Calculator

Given Input numbers are 324, 801, 48, 858

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 324, 801, 48, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 801, 48, 858 is 3.

Therefore, GCD of numbers 324, 801, 48, 858 is 3

Given Input Data is 324, 801, 48, 858

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 858 is 2 x 3 x 11 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(324, 801) = 28836

GCD(324, 801) = ( 324 x 801 ) / 28836

GCD(324, 801) = 259524 / 28836

GCD(324, 801) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 48

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

LCM(9, 48) = 144

GCD(9, 48) = ( 9 x 48 ) / 144

GCD(9, 48) = 432 / 144

GCD(9, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 858

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

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

GCD(3, 858) = 2574 / 858

GCD(3, 858) = 3

GCD of 324, 801, 48, 858 is 3

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1. What is the GCD of 324, 801, 48, 858?

GCD of 324, 801, 48, 858 is 3

2. Where do I get the detailed procedure to find GCD of 324, 801, 48, 858?

You can find a detailed procedure to find GCD of 324, 801, 48, 858 on our page.

3. How to find GCD of 324, 801, 48, 858 on a calculator?

You can find the GCD of 324, 801, 48, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.