GCD of 210, 198, 423, 294 Calculator

Given Input numbers are 210, 198, 423, 294

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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

Greatest Common Divisior

We found the divisors of 210, 198, 423, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 198, 423, 294 is 3.

Therefore, GCD of numbers 210, 198, 423, 294 is 3

Given Input Data is 210, 198, 423, 294

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

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

Prime Factorization of 423 is 3 x 3 x 47

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(210, 198) = 6930

GCD(210, 198) = ( 210 x 198 ) / 6930

GCD(210, 198) = 41580 / 6930

GCD(210, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 423

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

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

GCD(6, 423) = 2538 / 846

GCD(6, 423) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 294

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

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

GCD(3, 294) = 882 / 294

GCD(3, 294) = 3

GCD of 210, 198, 423, 294 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 723, 865, 175
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• GCD of 878, 144, 695, 158

1. What is the GCD of 210, 198, 423, 294?

GCD of 210, 198, 423, 294 is 3

2. Where do I get the detailed procedure to find GCD of 210, 198, 423, 294?

You can find a detailed procedure to find GCD of 210, 198, 423, 294 on our page.

3. How to find GCD of 210, 198, 423, 294 on a calculator?

You can find the GCD of 210, 198, 423, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.