GCD of 738, 354, 26, 332 Calculator

Given Input numbers are 738, 354, 26, 332

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 738, 354, 26, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 354, 26, 332 is 2.

Therefore, GCD of numbers 738, 354, 26, 332 is 2

Given Input Data is 738, 354, 26, 332

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 26 is 2 x 13

Prime Factorization of 332 is 2 x 2 x 83

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(738, 354) = 43542

GCD(738, 354) = ( 738 x 354 ) / 43542

GCD(738, 354) = 261252 / 43542

GCD(738, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 26

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

LCM(6, 26) = 78

GCD(6, 26) = ( 6 x 26 ) / 78

GCD(6, 26) = 156 / 78

GCD(6, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 332

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

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

GCD(2, 332) = 664 / 332

GCD(2, 332) = 2

GCD of 738, 354, 26, 332 is 2

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1. What is the GCD of 738, 354, 26, 332?

GCD of 738, 354, 26, 332 is 2

2. Where do I get the detailed procedure to find GCD of 738, 354, 26, 332?

You can find a detailed procedure to find GCD of 738, 354, 26, 332 on our page.

3. How to find GCD of 738, 354, 26, 332 on a calculator?

You can find the GCD of 738, 354, 26, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.