GCD of 56, 338, 412, 147 Calculator

Given Input numbers are 56, 338, 412, 147

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 56, 338, 412, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 338, 412, 147 is 1.

Therefore, GCD of numbers 56, 338, 412, 147 is 1

Given Input Data is 56, 338, 412, 147

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 338 is 2 x 13 x 13

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 147 is 3 x 7 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, 338) = 9464

GCD(56, 338) = ( 56 x 338 ) / 9464

GCD(56, 338) = 18928 / 9464

GCD(56, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 56, 338, 412, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 185, 457, 405
• GCD of 19, 189, 323, 169
• GCD of 25, 660, 430, 678
• GCD of 90, 804, 226, 736
• GCD of 15, 502, 263, 946

1. What is the GCD of 56, 338, 412, 147?

GCD of 56, 338, 412, 147 is 1

2. Where do I get the detailed procedure to find GCD of 56, 338, 412, 147?

You can find a detailed procedure to find GCD of 56, 338, 412, 147 on our page.

3. How to find GCD of 56, 338, 412, 147 on a calculator?

You can find the GCD of 56, 338, 412, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.