GCD of 359, 490, 76, 585 Calculator

Given Input numbers are 359, 490, 76, 585

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 359, 490, 76, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 490, 76, 585 is 1.

Therefore, GCD of numbers 359, 490, 76, 585 is 1

Given Input Data is 359, 490, 76, 585

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

Prime Factorization of 359 is 359

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 76 is 2 x 2 x 19

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(359, 490) = 175910

GCD(359, 490) = ( 359 x 490 ) / 175910

GCD(359, 490) = 175910 / 175910

GCD(359, 490) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 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 359, 490, 76, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 387, 44, 164
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• GCD of 464, 471, 67, 719

1. What is the GCD of 359, 490, 76, 585?

GCD of 359, 490, 76, 585 is 1

2. Where do I get the detailed procedure to find GCD of 359, 490, 76, 585?

You can find a detailed procedure to find GCD of 359, 490, 76, 585 on our page.

3. How to find GCD of 359, 490, 76, 585 on a calculator?

You can find the GCD of 359, 490, 76, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.