GCD of 440, 517, 131, 664 Calculator

Given Input numbers are 440, 517, 131, 664

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 131

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

1, 131

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 440, 517, 131, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 517, 131, 664 is 1.

Therefore, GCD of numbers 440, 517, 131, 664 is 1

Given Input Data is 440, 517, 131, 664

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 517 is 11 x 47

Prime Factorization of 131 is 131

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(440, 517) = 20680

GCD(440, 517) = ( 440 x 517 ) / 20680

GCD(440, 517) = 227480 / 20680

GCD(440, 517) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 131

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

LCM(11, 131) = 1441

GCD(11, 131) = ( 11 x 131 ) / 1441

GCD(11, 131) = 1441 / 1441

GCD(11, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 440, 517, 131, 664 is 1

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1. What is the GCD of 440, 517, 131, 664?

GCD of 440, 517, 131, 664 is 1

2. Where do I get the detailed procedure to find GCD of 440, 517, 131, 664?

You can find a detailed procedure to find GCD of 440, 517, 131, 664 on our page.

3. How to find GCD of 440, 517, 131, 664 on a calculator?

You can find the GCD of 440, 517, 131, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.