GCD of 103, 497, 47, 312 Calculator

Given Input numbers are 103, 497, 47, 312

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 103, 497, 47, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 497, 47, 312 is 1.

Therefore, GCD of numbers 103, 497, 47, 312 is 1

Given Input Data is 103, 497, 47, 312

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

Prime Factorization of 103 is 103

Prime Factorization of 497 is 7 x 71

Prime Factorization of 47 is 47

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(103, 497) = 51191

GCD(103, 497) = ( 103 x 497 ) / 51191

GCD(103, 497) = 51191 / 51191

GCD(103, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 103, 497, 47, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 654, 28, 766
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• GCD of 800, 317, 12, 792
• GCD of 503, 536, 51, 719
• GCD of 269, 923, 58, 996

1. What is the GCD of 103, 497, 47, 312?

GCD of 103, 497, 47, 312 is 1

2. Where do I get the detailed procedure to find GCD of 103, 497, 47, 312?

You can find a detailed procedure to find GCD of 103, 497, 47, 312 on our page.

3. How to find GCD of 103, 497, 47, 312 on a calculator?

You can find the GCD of 103, 497, 47, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.