GCD of 56, 493, 120, 208 Calculator

Given Input numbers are 56, 493, 120, 208

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 56, 493, 120, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 493, 120, 208 is 1.

Therefore, GCD of numbers 56, 493, 120, 208 is 1

Given Input Data is 56, 493, 120, 208

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 493 is 17 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 493) = 27608

GCD(56, 493) = ( 56 x 493 ) / 27608

GCD(56, 493) = 27608 / 27608

GCD(56, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 56, 493, 120, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 757, 593, 362
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• GCD of 30, 794, 131, 960
• GCD of 33, 472, 550, 311
• GCD of 67, 592, 431, 845

1. What is the GCD of 56, 493, 120, 208?

GCD of 56, 493, 120, 208 is 1

2. Where do I get the detailed procedure to find GCD of 56, 493, 120, 208?

You can find a detailed procedure to find GCD of 56, 493, 120, 208 on our page.

3. How to find GCD of 56, 493, 120, 208 on a calculator?

You can find the GCD of 56, 493, 120, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.