GCD of 295, 635, 45, 558 Calculator

Given Input numbers are 295, 635, 45, 558

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 295, 635, 45, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 635, 45, 558 is 1.

Therefore, GCD of numbers 295, 635, 45, 558 is 1

Given Input Data is 295, 635, 45, 558

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 635 is 5 x 127

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 558 is 2 x 3 x 3 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(295, 635) = 37465

GCD(295, 635) = ( 295 x 635 ) / 37465

GCD(295, 635) = 187325 / 37465

GCD(295, 635) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 45

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

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

GCD(5, 45) = 225 / 45

GCD(5, 45) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 558

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

LCM(5, 558) = 2790

GCD(5, 558) = ( 5 x 558 ) / 2790

GCD(5, 558) = 2790 / 2790

GCD(5, 558) = 1

GCD of 295, 635, 45, 558 is 1

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1. What is the GCD of 295, 635, 45, 558?

GCD of 295, 635, 45, 558 is 1

2. Where do I get the detailed procedure to find GCD of 295, 635, 45, 558?

You can find a detailed procedure to find GCD of 295, 635, 45, 558 on our page.

3. How to find GCD of 295, 635, 45, 558 on a calculator?

You can find the GCD of 295, 635, 45, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.