GCD of 56, 50, 39, 46 Calculator

Given Input numbers are 56, 50, 39, 46

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 56, 50, 39, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 50, 39, 46 is 1.

Therefore, GCD of numbers 56, 50, 39, 46 is 1

Given Input Data is 56, 50, 39, 46

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 50 is 2 x 5 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 46 is 2 x 23

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, 50) = 1400

GCD(56, 50) = ( 56 x 50 ) / 1400

GCD(56, 50) = 2800 / 1400

GCD(56, 50) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

GCD of 56, 50, 39, 46 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 35, 29, 91
• GCD of 29, 33, 72, 17
• GCD of 44, 34, 92, 71
• GCD of 77, 65, 14, 10
• GCD of 17, 21, 68, 99

1. What is the GCD of 56, 50, 39, 46?

GCD of 56, 50, 39, 46 is 1

2. Where do I get the detailed procedure to find GCD of 56, 50, 39, 46?

You can find a detailed procedure to find GCD of 56, 50, 39, 46 on our page.

3. How to find GCD of 56, 50, 39, 46 on a calculator?

You can find the GCD of 56, 50, 39, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.