GCD of 496, 928, 758, 344 Calculator

Given Input numbers are 496, 928, 758, 344

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 344

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

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

Greatest Common Divisior

We found the divisors of 496, 928, 758, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 928, 758, 344 is 2.

Therefore, GCD of numbers 496, 928, 758, 344 is 2

Given Input Data is 496, 928, 758, 344

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 758 is 2 x 379

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

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(496, 928) = 28768

GCD(496, 928) = ( 496 x 928 ) / 28768

GCD(496, 928) = 460288 / 28768

GCD(496, 928) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 758

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

LCM(16, 758) = 6064

GCD(16, 758) = ( 16 x 758 ) / 6064

GCD(16, 758) = 12128 / 6064

GCD(16, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 496, 928, 758, 344 is 2

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1. What is the GCD of 496, 928, 758, 344?

GCD of 496, 928, 758, 344 is 2

2. Where do I get the detailed procedure to find GCD of 496, 928, 758, 344?

You can find a detailed procedure to find GCD of 496, 928, 758, 344 on our page.

3. How to find GCD of 496, 928, 758, 344 on a calculator?

You can find the GCD of 496, 928, 758, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.