GCD of 296, 198, 754 Calculator

Given Input numbers are 296, 198, 754

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 296, 198, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 198, 754 is 2.

Therefore, GCD of numbers 296, 198, 754 is 2

Given Input Data is 296, 198, 754

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

Prime Factorization of 754 is 2 x 13 x 29

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(296, 198) = 29304

GCD(296, 198) = ( 296 x 198 ) / 29304

GCD(296, 198) = 58608 / 29304

GCD(296, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 296, 198, 754 is 2

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1. What is the GCD of 296, 198, 754?

GCD of 296, 198, 754 is 2

2. Where do I get the detailed procedure to find GCD of 296, 198, 754?

You can find a detailed procedure to find GCD of 296, 198, 754 on our page.

3. How to find GCD of 296, 198, 754 on a calculator?

You can find the GCD of 296, 198, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.