GCD of 404, 510, 653, 961 Calculator

Given Input numbers are 404, 510, 653, 961

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 404, 510, 653, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 510, 653, 961 is 1.

Therefore, GCD of numbers 404, 510, 653, 961 is 1

Given Input Data is 404, 510, 653, 961

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 653 is 653

Prime Factorization of 961 is 31 x 31

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(404, 510) = 103020

GCD(404, 510) = ( 404 x 510 ) / 103020

GCD(404, 510) = 206040 / 103020

GCD(404, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 404, 510, 653, 961 is 1

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1. What is the GCD of 404, 510, 653, 961?

GCD of 404, 510, 653, 961 is 1

2. Where do I get the detailed procedure to find GCD of 404, 510, 653, 961?

You can find a detailed procedure to find GCD of 404, 510, 653, 961 on our page.

3. How to find GCD of 404, 510, 653, 961 on a calculator?

You can find the GCD of 404, 510, 653, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.