GCD of 313, 225, 123, 387 Calculator

Given Input numbers are 313, 225, 123, 387

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 313, 225, 123, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 225, 123, 387 is 1.

Therefore, GCD of numbers 313, 225, 123, 387 is 1

Given Input Data is 313, 225, 123, 387

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

Prime Factorization of 313 is 313

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 123 is 3 x 41

Prime Factorization of 387 is 3 x 3 x 43

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, 225) = 70425

GCD(313, 225) = ( 313 x 225 ) / 70425

GCD(313, 225) = 70425 / 70425

GCD(313, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 313, 225, 123, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 383, 306, 645
• GCD of 428, 340, 896, 484
• GCD of 728, 297, 635, 909
• GCD of 199, 162, 271, 647
• GCD of 811, 428, 405, 899

1. What is the GCD of 313, 225, 123, 387?

GCD of 313, 225, 123, 387 is 1

2. Where do I get the detailed procedure to find GCD of 313, 225, 123, 387?

You can find a detailed procedure to find GCD of 313, 225, 123, 387 on our page.

3. How to find GCD of 313, 225, 123, 387 on a calculator?

You can find the GCD of 313, 225, 123, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.