GCD of 42, 21, 51 Calculator

Given Input numbers are 42, 21, 51

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

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 42, 21, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 21, 51 is 3.

Therefore, GCD of numbers 42, 21, 51 is 3

Given Input Data is 42, 21, 51

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 51 is 3 x 17

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(42, 21) = 42

GCD(42, 21) = ( 42 x 21 ) / 42

GCD(42, 21) = 882 / 42

GCD(42, 21) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 51

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

LCM(21, 51) = 357

GCD(21, 51) = ( 21 x 51 ) / 357

GCD(21, 51) = 1071 / 357

GCD(21, 51) = 3

GCD of 42, 21, 51 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 83, 16
• GCD of 28, 47, 55
• GCD of 77, 50, 14
• GCD of 90, 87, 57
• GCD of 32, 60, 51

1. What is the GCD of 42, 21, 51?

GCD of 42, 21, 51 is 3

2. Where do I get the detailed procedure to find GCD of 42, 21, 51?

You can find a detailed procedure to find GCD of 42, 21, 51 on our page.

3. How to find GCD of 42, 21, 51 on a calculator?

You can find the GCD of 42, 21, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.