GCD of 42, 21, 66, 76 Calculator

Given Input numbers are 42, 21, 66, 76

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 66

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

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 42, 21, 66, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 21, 66, 76 is 1.

Therefore, GCD of numbers 42, 21, 66, 76 is 1

Given Input Data is 42, 21, 66, 76

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 66 is 2 x 3 x 11

Prime Factorization of 76 is 2 x 2 x 19

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, 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 66

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

LCM(21, 66) = 462

GCD(21, 66) = ( 21 x 66 ) / 462

GCD(21, 66) = 1386 / 462

GCD(21, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

GCD of 42, 21, 66, 76 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 48, 76, 82
• GCD of 69, 14, 85, 81
• GCD of 41, 25, 29, 39
• GCD of 50, 79, 98, 92
• GCD of 59, 69, 79, 77

1. What is the GCD of 42, 21, 66, 76?

GCD of 42, 21, 66, 76 is 1

2. Where do I get the detailed procedure to find GCD of 42, 21, 66, 76?

You can find a detailed procedure to find GCD of 42, 21, 66, 76 on our page.

3. How to find GCD of 42, 21, 66, 76 on a calculator?

You can find the GCD of 42, 21, 66, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.