GCD of 344, 428, 155, 746 Calculator

Given Input numbers are 344, 428, 155, 746

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 746

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

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 344, 428, 155, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 428, 155, 746 is 1.

Therefore, GCD of numbers 344, 428, 155, 746 is 1

Given Input Data is 344, 428, 155, 746

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 155 is 5 x 31

Prime Factorization of 746 is 2 x 373

The above numbers do not have any common prime factor. So GCD is 1

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(344, 428) = 36808

GCD(344, 428) = ( 344 x 428 ) / 36808

GCD(344, 428) = 147232 / 36808

GCD(344, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 155

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

LCM(4, 155) = 620

GCD(4, 155) = ( 4 x 155 ) / 620

GCD(4, 155) = 620 / 620

GCD(4, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 344, 428, 155, 746 is 1

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1. What is the GCD of 344, 428, 155, 746?

GCD of 344, 428, 155, 746 is 1

2. Where do I get the detailed procedure to find GCD of 344, 428, 155, 746?

You can find a detailed procedure to find GCD of 344, 428, 155, 746 on our page.

3. How to find GCD of 344, 428, 155, 746 on a calculator?

You can find the GCD of 344, 428, 155, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.