GCD of 497, 745, 558, 599 Calculator

Given Input numbers are 497, 745, 558, 599

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 497, 745, 558, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 745, 558, 599 is 1.

Therefore, GCD of numbers 497, 745, 558, 599 is 1

Given Input Data is 497, 745, 558, 599

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 745 is 5 x 149

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 599 is 599

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, 745) = 370265

GCD(497, 745) = ( 497 x 745 ) / 370265

GCD(497, 745) = 370265 / 370265

GCD(497, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

GCD of 497, 745, 558, 599 is 1

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1. What is the GCD of 497, 745, 558, 599?

GCD of 497, 745, 558, 599 is 1

2. Where do I get the detailed procedure to find GCD of 497, 745, 558, 599?

You can find a detailed procedure to find GCD of 497, 745, 558, 599 on our page.

3. How to find GCD of 497, 745, 558, 599 on a calculator?

You can find the GCD of 497, 745, 558, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.