GCD of 48, 42, 84 Calculator

Given Input numbers are 48, 42, 84

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

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 48, 42, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 42, 84 is 6.

Therefore, GCD of numbers 48, 42, 84 is 6

Given Input Data is 48, 42, 84

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

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(48, 42) = 336

GCD(48, 42) = ( 48 x 42 ) / 336

GCD(48, 42) = 2016 / 336

GCD(48, 42) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

GCD of 48, 42, 84 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 22, 96
• GCD of 71, 90, 33
• GCD of 83, 96, 90
• GCD of 58, 56, 39
• GCD of 13, 84, 57

1. What is the GCD of 48, 42, 84?

GCD of 48, 42, 84 is 6

2. Where do I get the detailed procedure to find GCD of 48, 42, 84?

You can find a detailed procedure to find GCD of 48, 42, 84 on our page.

3. How to find GCD of 48, 42, 84 on a calculator?

You can find the GCD of 48, 42, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.