GCD of 42, 51, 71, 84 Calculator

Given Input numbers are 42, 51, 71, 84

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 51

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

1, 3, 17, 51

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 42, 51, 71, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 51, 71, 84 is 1.

Therefore, GCD of numbers 42, 51, 71, 84 is 1

Given Input Data is 42, 51, 71, 84

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 51 is 3 x 17

Prime Factorization of 71 is 71

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

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, 51) = 714

GCD(42, 51) = ( 42 x 51 ) / 714

GCD(42, 51) = 2142 / 714

GCD(42, 51) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 42, 51, 71, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 61, 97, 39
• GCD of 39, 99, 70, 91
• GCD of 73, 58, 39, 34
• GCD of 43, 31, 94, 95
• GCD of 87, 17, 46, 77

1. What is the GCD of 42, 51, 71, 84?

GCD of 42, 51, 71, 84 is 1

2. Where do I get the detailed procedure to find GCD of 42, 51, 71, 84?

You can find a detailed procedure to find GCD of 42, 51, 71, 84 on our page.

3. How to find GCD of 42, 51, 71, 84 on a calculator?

You can find the GCD of 42, 51, 71, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.