GCD of 51, 15, 71, 56 Calculator

Given Input numbers are 51, 15, 71, 56

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 71

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

1, 71

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 51, 15, 71, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 15, 71, 56 is 1.

Therefore, GCD of numbers 51, 15, 71, 56 is 1

Given Input Data is 51, 15, 71, 56

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 15 is 3 x 5

Prime Factorization of 71 is 71

Prime Factorization of 56 is 2 x 2 x 2 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(51, 15) = 255

GCD(51, 15) = ( 51 x 15 ) / 255

GCD(51, 15) = 765 / 255

GCD(51, 15) = 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 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 51, 15, 71, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 85, 55, 97
• GCD of 32, 32, 79, 13
• GCD of 37, 45, 57, 50
• GCD of 73, 11, 58, 93
• GCD of 43, 94, 72, 95

1. What is the GCD of 51, 15, 71, 56?

GCD of 51, 15, 71, 56 is 1

2. Where do I get the detailed procedure to find GCD of 51, 15, 71, 56?

You can find a detailed procedure to find GCD of 51, 15, 71, 56 on our page.

3. How to find GCD of 51, 15, 71, 56 on a calculator?

You can find the GCD of 51, 15, 71, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.