GCD of 90, 305, 315, 558 Calculator

Given Input numbers are 90, 305, 315, 558

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 90, 305, 315, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 305, 315, 558 is 1.

Therefore, GCD of numbers 90, 305, 315, 558 is 1

Given Input Data is 90, 305, 315, 558

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 305 is 5 x 61

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(90, 305) = 5490

GCD(90, 305) = ( 90 x 305 ) / 5490

GCD(90, 305) = 27450 / 5490

GCD(90, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 315

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

LCM(5, 315) = 315

GCD(5, 315) = ( 5 x 315 ) / 315

GCD(5, 315) = 1575 / 315

GCD(5, 315) = 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 90, 305, 315, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 462, 497, 287
• GCD of 37, 385, 344, 397
• GCD of 67, 841, 134, 767
• GCD of 48, 995, 124, 221
• GCD of 98, 263, 232, 471

1. What is the GCD of 90, 305, 315, 558?

GCD of 90, 305, 315, 558 is 1

2. Where do I get the detailed procedure to find GCD of 90, 305, 315, 558?

You can find a detailed procedure to find GCD of 90, 305, 315, 558 on our page.

3. How to find GCD of 90, 305, 315, 558 on a calculator?

You can find the GCD of 90, 305, 315, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.