GCD of 344, 273, 502, 616 Calculator

Given Input numbers are 344, 273, 502, 616

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 344, 273, 502, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 273, 502, 616 is 1.

Therefore, GCD of numbers 344, 273, 502, 616 is 1

Given Input Data is 344, 273, 502, 616

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 273 is 3 x 7 x 13

Prime Factorization of 502 is 2 x 251

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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, 273) = 93912

GCD(344, 273) = ( 344 x 273 ) / 93912

GCD(344, 273) = 93912 / 93912

GCD(344, 273) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 344, 273, 502, 616 is 1

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1. What is the GCD of 344, 273, 502, 616?

GCD of 344, 273, 502, 616 is 1

2. Where do I get the detailed procedure to find GCD of 344, 273, 502, 616?

You can find a detailed procedure to find GCD of 344, 273, 502, 616 on our page.

3. How to find GCD of 344, 273, 502, 616 on a calculator?

You can find the GCD of 344, 273, 502, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.