GCD of 42, 3, 40, 66 Calculator

Given Input numbers are 42, 3, 40, 66

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 42, 3, 40, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 3, 40, 66 is 1.

Therefore, GCD of numbers 42, 3, 40, 66 is 1

Given Input Data is 42, 3, 40, 66

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 3 is 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 66 is 2 x 3 x 11

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(42, 3) = 42

GCD(42, 3) = ( 42 x 3 ) / 42

GCD(42, 3) = 126 / 42

GCD(42, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 42, 3, 40, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 7, 38, 83
• GCD of 16, 4, 29, 37
• GCD of 47, 1, 99, 39
• GCD of 53, 3, 59, 65
• GCD of 21, 2, 39, 67

1. What is the GCD of 42, 3, 40, 66?

GCD of 42, 3, 40, 66 is 1

2. Where do I get the detailed procedure to find GCD of 42, 3, 40, 66?

You can find a detailed procedure to find GCD of 42, 3, 40, 66 on our page.

3. How to find GCD of 42, 3, 40, 66 on a calculator?

You can find the GCD of 42, 3, 40, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.