GCD of 490, 585, 677, 131 Calculator

Given Input numbers are 490, 585, 677, 131

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

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 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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 490, 585, 677, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 585, 677, 131 is 1.

Therefore, GCD of numbers 490, 585, 677, 131 is 1

Given Input Data is 490, 585, 677, 131

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

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

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

Prime Factorization of 677 is 677

Prime Factorization of 131 is 131

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(490, 585) = 57330

GCD(490, 585) = ( 490 x 585 ) / 57330

GCD(490, 585) = 286650 / 57330

GCD(490, 585) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 677

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

LCM(5, 677) = 3385

GCD(5, 677) = ( 5 x 677 ) / 3385

GCD(5, 677) = 3385 / 3385

GCD(5, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 490, 585, 677, 131 is 1

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1. What is the GCD of 490, 585, 677, 131?

GCD of 490, 585, 677, 131 is 1

2. Where do I get the detailed procedure to find GCD of 490, 585, 677, 131?

You can find a detailed procedure to find GCD of 490, 585, 677, 131 on our page.

3. How to find GCD of 490, 585, 677, 131 on a calculator?

You can find the GCD of 490, 585, 677, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.