GCD of 198, 840, 624 Calculator

Given Input numbers are 198, 840, 624

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 198, 840, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 840, 624 is 6.

Therefore, GCD of numbers 198, 840, 624 is 6

Given Input Data is 198, 840, 624

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 840) = 27720

GCD(198, 840) = ( 198 x 840 ) / 27720

GCD(198, 840) = 166320 / 27720

GCD(198, 840) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 624

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

LCM(6, 624) = 624

GCD(6, 624) = ( 6 x 624 ) / 624

GCD(6, 624) = 3744 / 624

GCD(6, 624) = 6

GCD of 198, 840, 624 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 788, 378
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• GCD of 839, 460, 271
• GCD of 143, 952, 653
• GCD of 683, 565, 287

1. What is the GCD of 198, 840, 624?

GCD of 198, 840, 624 is 6

2. Where do I get the detailed procedure to find GCD of 198, 840, 624?

You can find a detailed procedure to find GCD of 198, 840, 624 on our page.

3. How to find GCD of 198, 840, 624 on a calculator?

You can find the GCD of 198, 840, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.