GCD of 274, 198, 126 Calculator

Given Input numbers are 274, 198, 126

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 274, 198, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 198, 126 is 2.

Therefore, GCD of numbers 274, 198, 126 is 2

Given Input Data is 274, 198, 126

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

Prime Factorization of 274 is 2 x 137

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(274, 198) = 27126

GCD(274, 198) = ( 274 x 198 ) / 27126

GCD(274, 198) = 54252 / 27126

GCD(274, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 274, 198, 126 is 2

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1. What is the GCD of 274, 198, 126?

GCD of 274, 198, 126 is 2

2. Where do I get the detailed procedure to find GCD of 274, 198, 126?

You can find a detailed procedure to find GCD of 274, 198, 126 on our page.

3. How to find GCD of 274, 198, 126 on a calculator?

You can find the GCD of 274, 198, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.