GCD of 294, 198, 85 Calculator

Given Input numbers are 294, 198, 85

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 294, 198, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 198, 85 is 1.

Therefore, GCD of numbers 294, 198, 85 is 1

Given Input Data is 294, 198, 85

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

Prime Factorization of 85 is 5 x 17

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(294, 198) = 9702

GCD(294, 198) = ( 294 x 198 ) / 9702

GCD(294, 198) = 58212 / 9702

GCD(294, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 85

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

LCM(6, 85) = 510

GCD(6, 85) = ( 6 x 85 ) / 510

GCD(6, 85) = 510 / 510

GCD(6, 85) = 1

GCD of 294, 198, 85 is 1

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1. What is the GCD of 294, 198, 85?

GCD of 294, 198, 85 is 1

2. Where do I get the detailed procedure to find GCD of 294, 198, 85?

You can find a detailed procedure to find GCD of 294, 198, 85 on our page.

3. How to find GCD of 294, 198, 85 on a calculator?

You can find the GCD of 294, 198, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.