GCD of 470, 672, 306, 198 Calculator

Given Input numbers are 470, 672, 306, 198

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

Greatest Common Divisior

We found the divisors of 470, 672, 306, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 672, 306, 198 is 2.

Therefore, GCD of numbers 470, 672, 306, 198 is 2

Given Input Data is 470, 672, 306, 198

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

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(470, 672) = 157920

GCD(470, 672) = ( 470 x 672 ) / 157920

GCD(470, 672) = 315840 / 157920

GCD(470, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 306

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

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

GCD(2, 306) = 612 / 306

GCD(2, 306) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 470, 672, 306, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 160, 160, 850
• GCD of 422, 987, 798, 776
• GCD of 529, 392, 271, 907
• GCD of 375, 804, 906, 866
• GCD of 911, 982, 354, 255

1. What is the GCD of 470, 672, 306, 198?

GCD of 470, 672, 306, 198 is 2

2. Where do I get the detailed procedure to find GCD of 470, 672, 306, 198?

You can find a detailed procedure to find GCD of 470, 672, 306, 198 on our page.

3. How to find GCD of 470, 672, 306, 198 on a calculator?

You can find the GCD of 470, 672, 306, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.