GCD of 48, 558, 947, 198 Calculator

Given Input numbers are 48, 558, 947, 198

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 48, 558, 947, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 558, 947, 198 is 1.

Therefore, GCD of numbers 48, 558, 947, 198 is 1

Given Input Data is 48, 558, 947, 198

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 947 is 947

Prime Factorization of 198 is 2 x 3 x 3 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(48, 558) = 4464

GCD(48, 558) = ( 48 x 558 ) / 4464

GCD(48, 558) = 26784 / 4464

GCD(48, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 947

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

LCM(6, 947) = 5682

GCD(6, 947) = ( 6 x 947 ) / 5682

GCD(6, 947) = 5682 / 5682

GCD(6, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 48, 558, 947, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 190, 267, 358
• GCD of 51, 645, 666, 473
• GCD of 34, 785, 581, 428
• GCD of 32, 212, 357, 660
• GCD of 16, 233, 405, 627

1. What is the GCD of 48, 558, 947, 198?

GCD of 48, 558, 947, 198 is 1

2. Where do I get the detailed procedure to find GCD of 48, 558, 947, 198?

You can find a detailed procedure to find GCD of 48, 558, 947, 198 on our page.

3. How to find GCD of 48, 558, 947, 198 on a calculator?

You can find the GCD of 48, 558, 947, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.