GCD of 52, 71, 16, 84 Calculator

Given Input numbers are 52, 71, 16, 84

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 71

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

1, 71

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 52, 71, 16, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 71, 16, 84 is 1.

Therefore, GCD of numbers 52, 71, 16, 84 is 1

Given Input Data is 52, 71, 16, 84

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 71 is 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(52, 71) = 3692

GCD(52, 71) = ( 52 x 71 ) / 3692

GCD(52, 71) = 3692 / 3692

GCD(52, 71) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 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 52, 71, 16, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 59, 91, 47
• GCD of 18, 35, 96, 96
• GCD of 70, 29, 27, 25
• GCD of 94, 78, 55, 84
• GCD of 48, 89, 11, 78

1. What is the GCD of 52, 71, 16, 84?

GCD of 52, 71, 16, 84 is 1

2. Where do I get the detailed procedure to find GCD of 52, 71, 16, 84?

You can find a detailed procedure to find GCD of 52, 71, 16, 84 on our page.

3. How to find GCD of 52, 71, 16, 84 on a calculator?

You can find the GCD of 52, 71, 16, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.