GCD of 497, 865, 524, 575 Calculator

Given Input numbers are 497, 865, 524, 575

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 497, 865, 524, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 865, 524, 575 is 1.

Therefore, GCD of numbers 497, 865, 524, 575 is 1

Given Input Data is 497, 865, 524, 575

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 865 is 5 x 173

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 575 is 5 x 5 x 23

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(497, 865) = 429905

GCD(497, 865) = ( 497 x 865 ) / 429905

GCD(497, 865) = 429905 / 429905

GCD(497, 865) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 497, 865, 524, 575 is 1

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1. What is the GCD of 497, 865, 524, 575?

GCD of 497, 865, 524, 575 is 1

2. Where do I get the detailed procedure to find GCD of 497, 865, 524, 575?

You can find a detailed procedure to find GCD of 497, 865, 524, 575 on our page.

3. How to find GCD of 497, 865, 524, 575 on a calculator?

You can find the GCD of 497, 865, 524, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.