GCD of 313, 478, 48, 615 Calculator

Given Input numbers are 313, 478, 48, 615

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

Divisors of 313

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

1, 313

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 313, 478, 48, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 478, 48, 615 is 1.

Therefore, GCD of numbers 313, 478, 48, 615 is 1

Given Input Data is 313, 478, 48, 615

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

Prime Factorization of 313 is 313

Prime Factorization of 478 is 2 x 239

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 615 is 3 x 5 x 41

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(313, 478) = 149614

GCD(313, 478) = ( 313 x 478 ) / 149614

GCD(313, 478) = 149614 / 149614

GCD(313, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 313, 478, 48, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 441, 63, 589
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• GCD of 629, 867, 82, 171
• GCD of 798, 939, 37, 476

1. What is the GCD of 313, 478, 48, 615?

GCD of 313, 478, 48, 615 is 1

2. Where do I get the detailed procedure to find GCD of 313, 478, 48, 615?

You can find a detailed procedure to find GCD of 313, 478, 48, 615 on our page.

3. How to find GCD of 313, 478, 48, 615 on a calculator?

You can find the GCD of 313, 478, 48, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.