GCD of 56, 6, 67, 14 Calculator

Given Input numbers are 56, 6, 67, 14

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

Divisors of 56

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

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

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 56, 6, 67, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 6, 67, 14 is 1.

Therefore, GCD of numbers 56, 6, 67, 14 is 1

Given Input Data is 56, 6, 67, 14

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 6 is 2 x 3

Prime Factorization of 67 is 67

Prime Factorization of 14 is 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(56, 6) = 168

GCD(56, 6) = ( 56 x 6 ) / 168

GCD(56, 6) = 336 / 168

GCD(56, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 56, 6, 67, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 4, 27, 30
• GCD of 36, 6, 33, 84
• GCD of 24, 4, 88, 73
• GCD of 28, 7, 16, 35
• GCD of 84, 8, 46, 90

1. What is the GCD of 56, 6, 67, 14?

GCD of 56, 6, 67, 14 is 1

2. Where do I get the detailed procedure to find GCD of 56, 6, 67, 14?

You can find a detailed procedure to find GCD of 56, 6, 67, 14 on our page.

3. How to find GCD of 56, 6, 67, 14 on a calculator?

You can find the GCD of 56, 6, 67, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.