GCD of 198, 989, 948 Calculator

Given Input numbers are 198, 989, 948

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

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 198, 989, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 989, 948 is 1.

Therefore, GCD of numbers 198, 989, 948 is 1

Given Input Data is 198, 989, 948

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 989 is 23 x 43

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(198, 989) = 195822

GCD(198, 989) = ( 198 x 989 ) / 195822

GCD(198, 989) = 195822 / 195822

GCD(198, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 198, 989, 948 is 1

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1. What is the GCD of 198, 989, 948?

GCD of 198, 989, 948 is 1

2. Where do I get the detailed procedure to find GCD of 198, 989, 948?

You can find a detailed procedure to find GCD of 198, 989, 948 on our page.

3. How to find GCD of 198, 989, 948 on a calculator?

You can find the GCD of 198, 989, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.