GCD of 16, 78, 57 Calculator

Given Input numbers are 16, 78, 57

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 16, 78, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 78, 57 is 1.

Therefore, GCD of numbers 16, 78, 57 is 1

Given Input Data is 16, 78, 57

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

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 57 is 3 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(16, 78) = 624

GCD(16, 78) = ( 16 x 78 ) / 624

GCD(16, 78) = 1248 / 624

GCD(16, 78) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

GCD of 16, 78, 57 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 19, 73
• GCD of 49, 78, 37
• GCD of 99, 80, 77
• GCD of 32, 51, 16
• GCD of 14, 49, 80

1. What is the GCD of 16, 78, 57?

GCD of 16, 78, 57 is 1

2. Where do I get the detailed procedure to find GCD of 16, 78, 57?

You can find a detailed procedure to find GCD of 16, 78, 57 on our page.

3. How to find GCD of 16, 78, 57 on a calculator?

You can find the GCD of 16, 78, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.