GCD of 460, 585, 35, 719 Calculator

Given Input numbers are 460, 585, 35, 719

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 460, 585, 35, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 585, 35, 719 is 1.

Therefore, GCD of numbers 460, 585, 35, 719 is 1

Given Input Data is 460, 585, 35, 719

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 35 is 5 x 7

Prime Factorization of 719 is 719

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(460, 585) = 53820

GCD(460, 585) = ( 460 x 585 ) / 53820

GCD(460, 585) = 269100 / 53820

GCD(460, 585) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 35

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

LCM(5, 35) = 35

GCD(5, 35) = ( 5 x 35 ) / 35

GCD(5, 35) = 175 / 35

GCD(5, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 719

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

LCM(5, 719) = 3595

GCD(5, 719) = ( 5 x 719 ) / 3595

GCD(5, 719) = 3595 / 3595

GCD(5, 719) = 1

GCD of 460, 585, 35, 719 is 1

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• GCD of 935, 777, 95, 155
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1. What is the GCD of 460, 585, 35, 719?

GCD of 460, 585, 35, 719 is 1

2. Where do I get the detailed procedure to find GCD of 460, 585, 35, 719?

You can find a detailed procedure to find GCD of 460, 585, 35, 719 on our page.

3. How to find GCD of 460, 585, 35, 719 on a calculator?

You can find the GCD of 460, 585, 35, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.