GCD of 367, 585, 35, 782 Calculator

Given Input numbers are 367, 585, 35, 782

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 367, 585, 35, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 585, 35, 782 is 1.

Therefore, GCD of numbers 367, 585, 35, 782 is 1

Given Input Data is 367, 585, 35, 782

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

Prime Factorization of 367 is 367

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 782 is 2 x 17 x 23

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(367, 585) = 214695

GCD(367, 585) = ( 367 x 585 ) / 214695

GCD(367, 585) = 214695 / 214695

GCD(367, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 367, 585, 35, 782 is 1

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• GCD of 636, 734, 17, 925
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• GCD of 196, 392, 54, 800

1. What is the GCD of 367, 585, 35, 782?

GCD of 367, 585, 35, 782 is 1

2. Where do I get the detailed procedure to find GCD of 367, 585, 35, 782?

You can find a detailed procedure to find GCD of 367, 585, 35, 782 on our page.

3. How to find GCD of 367, 585, 35, 782 on a calculator?

You can find the GCD of 367, 585, 35, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.