GCD of 438, 376, 198, 266 Calculator

Given Input numbers are 438, 376, 198, 266

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 438, 376, 198, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 376, 198, 266 is 2.

Therefore, GCD of numbers 438, 376, 198, 266 is 2

Given Input Data is 438, 376, 198, 266

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 376 is 2 x 2 x 2 x 47

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

Prime Factorization of 266 is 2 x 7 x 19

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(438, 376) = 82344

GCD(438, 376) = ( 438 x 376 ) / 82344

GCD(438, 376) = 164688 / 82344

GCD(438, 376) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 438, 376, 198, 266 is 2

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1. What is the GCD of 438, 376, 198, 266?

GCD of 438, 376, 198, 266 is 2

2. Where do I get the detailed procedure to find GCD of 438, 376, 198, 266?

You can find a detailed procedure to find GCD of 438, 376, 198, 266 on our page.

3. How to find GCD of 438, 376, 198, 266 on a calculator?

You can find the GCD of 438, 376, 198, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.