GCD of 490, 659, 86, 231 Calculator

Given Input numbers are 490, 659, 86, 231

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 490, 659, 86, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 659, 86, 231 is 1.

Therefore, GCD of numbers 490, 659, 86, 231 is 1

Given Input Data is 490, 659, 86, 231

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 659 is 659

Prime Factorization of 86 is 2 x 43

Prime Factorization of 231 is 3 x 7 x 11

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, 659) = 322910

GCD(490, 659) = ( 490 x 659 ) / 322910

GCD(490, 659) = 322910 / 322910

GCD(490, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 490, 659, 86, 231 is 1

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1. What is the GCD of 490, 659, 86, 231?

GCD of 490, 659, 86, 231 is 1

2. Where do I get the detailed procedure to find GCD of 490, 659, 86, 231?

You can find a detailed procedure to find GCD of 490, 659, 86, 231 on our page.

3. How to find GCD of 490, 659, 86, 231 on a calculator?

You can find the GCD of 490, 659, 86, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.