GCD of 713, 387, 448, 585 Calculator

Given Input numbers are 713, 387, 448, 585

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 713, 387, 448, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 387, 448, 585 is 1.

Therefore, GCD of numbers 713, 387, 448, 585 is 1

Given Input Data is 713, 387, 448, 585

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 585 is 3 x 3 x 5 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(713, 387) = 275931

GCD(713, 387) = ( 713 x 387 ) / 275931

GCD(713, 387) = 275931 / 275931

GCD(713, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 713, 387, 448, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 478, 666, 887
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• GCD of 374, 563, 448, 138
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• GCD of 510, 736, 345, 869

1. What is the GCD of 713, 387, 448, 585?

GCD of 713, 387, 448, 585 is 1

2. Where do I get the detailed procedure to find GCD of 713, 387, 448, 585?

You can find a detailed procedure to find GCD of 713, 387, 448, 585 on our page.

3. How to find GCD of 713, 387, 448, 585 on a calculator?

You can find the GCD of 713, 387, 448, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.