GCD of 746, 738, 254 Calculator

Given Input numbers are 746, 738, 254

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 746, 738, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 738, 254 is 2.

Therefore, GCD of numbers 746, 738, 254 is 2

Given Input Data is 746, 738, 254

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 254 is 2 x 127

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(746, 738) = 275274

GCD(746, 738) = ( 746 x 738 ) / 275274

GCD(746, 738) = 550548 / 275274

GCD(746, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 254

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

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

GCD(2, 254) = 508 / 254

GCD(2, 254) = 2

GCD of 746, 738, 254 is 2

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• GCD of 517, 236, 773
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1. What is the GCD of 746, 738, 254?

GCD of 746, 738, 254 is 2

2. Where do I get the detailed procedure to find GCD of 746, 738, 254?

You can find a detailed procedure to find GCD of 746, 738, 254 on our page.

3. How to find GCD of 746, 738, 254 on a calculator?

You can find the GCD of 746, 738, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.