GCD of 424, 198, 680 Calculator

Given Input numbers are 424, 198, 680

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 424, 198, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 198, 680 is 2.

Therefore, GCD of numbers 424, 198, 680 is 2

Given Input Data is 424, 198, 680

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(424, 198) = 41976

GCD(424, 198) = ( 424 x 198 ) / 41976

GCD(424, 198) = 83952 / 41976

GCD(424, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 424, 198, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 252, 460
• GCD of 874, 497, 560
• GCD of 754, 220, 213
• GCD of 250, 331, 527
• GCD of 696, 583, 409

1. What is the GCD of 424, 198, 680?

GCD of 424, 198, 680 is 2

2. Where do I get the detailed procedure to find GCD of 424, 198, 680?

You can find a detailed procedure to find GCD of 424, 198, 680 on our page.

3. How to find GCD of 424, 198, 680 on a calculator?

You can find the GCD of 424, 198, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.