GCD of 198, 803, 45, 969 Calculator

Given Input numbers are 198, 803, 45, 969

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 198, 803, 45, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 803, 45, 969 is 1.

Therefore, GCD of numbers 198, 803, 45, 969 is 1

Given Input Data is 198, 803, 45, 969

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 803 is 11 x 73

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 969 is 3 x 17 x 19

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, 803) = 14454

GCD(198, 803) = ( 198 x 803 ) / 14454

GCD(198, 803) = 158994 / 14454

GCD(198, 803) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 45

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

LCM(11, 45) = 495

GCD(11, 45) = ( 11 x 45 ) / 495

GCD(11, 45) = 495 / 495

GCD(11, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 198, 803, 45, 969 is 1

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• GCD of 942, 131, 94, 688
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1. What is the GCD of 198, 803, 45, 969?

GCD of 198, 803, 45, 969 is 1

2. Where do I get the detailed procedure to find GCD of 198, 803, 45, 969?

You can find a detailed procedure to find GCD of 198, 803, 45, 969 on our page.

3. How to find GCD of 198, 803, 45, 969 on a calculator?

You can find the GCD of 198, 803, 45, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.