GCD of 574, 572, 117, 495 Calculator

Given Input numbers are 574, 572, 117, 495

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 574, 572, 117, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 572, 117, 495 is 1.

Therefore, GCD of numbers 574, 572, 117, 495 is 1

Given Input Data is 574, 572, 117, 495

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 495 is 3 x 3 x 5 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(574, 572) = 164164

GCD(574, 572) = ( 574 x 572 ) / 164164

GCD(574, 572) = 328328 / 164164

GCD(574, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 574, 572, 117, 495 is 1

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1. What is the GCD of 574, 572, 117, 495?

GCD of 574, 572, 117, 495 is 1

2. Where do I get the detailed procedure to find GCD of 574, 572, 117, 495?

You can find a detailed procedure to find GCD of 574, 572, 117, 495 on our page.

3. How to find GCD of 574, 572, 117, 495 on a calculator?

You can find the GCD of 574, 572, 117, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.