GCD of 754, 738, 604, 346 Calculator

Given Input numbers are 754, 738, 604, 346

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

Divisors of 754

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

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

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 754, 738, 604, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 738, 604, 346 is 2.

Therefore, GCD of numbers 754, 738, 604, 346 is 2

Given Input Data is 754, 738, 604, 346

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

Prime Factorization of 754 is 2 x 13 x 29

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 346 is 2 x 173

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(754, 738) = 278226

GCD(754, 738) = ( 754 x 738 ) / 278226

GCD(754, 738) = 556452 / 278226

GCD(754, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 754, 738, 604, 346 is 2

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1. What is the GCD of 754, 738, 604, 346?

GCD of 754, 738, 604, 346 is 2

2. Where do I get the detailed procedure to find GCD of 754, 738, 604, 346?

You can find a detailed procedure to find GCD of 754, 738, 604, 346 on our page.

3. How to find GCD of 754, 738, 604, 346 on a calculator?

You can find the GCD of 754, 738, 604, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.