GCD of 331, 313, 47, 749 Calculator

Given Input numbers are 331, 313, 47, 749

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 47

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

1, 47

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 331, 313, 47, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 313, 47, 749 is 1.

Therefore, GCD of numbers 331, 313, 47, 749 is 1

Given Input Data is 331, 313, 47, 749

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

Prime Factorization of 331 is 331

Prime Factorization of 313 is 313

Prime Factorization of 47 is 47

Prime Factorization of 749 is 7 x 107

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(331, 313) = 103603

GCD(331, 313) = ( 331 x 313 ) / 103603

GCD(331, 313) = 103603 / 103603

GCD(331, 313) = 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 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 331, 313, 47, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 823, 16, 498
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• GCD of 187, 183, 52, 884
• GCD of 703, 707, 22, 239
• GCD of 822, 691, 43, 225

1. What is the GCD of 331, 313, 47, 749?

GCD of 331, 313, 47, 749 is 1

2. Where do I get the detailed procedure to find GCD of 331, 313, 47, 749?

You can find a detailed procedure to find GCD of 331, 313, 47, 749 on our page.

3. How to find GCD of 331, 313, 47, 749 on a calculator?

You can find the GCD of 331, 313, 47, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.