GCD of 608, 344, 131, 609 Calculator

Given Input numbers are 608, 344, 131, 609

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 608, 344, 131, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 344, 131, 609 is 1.

Therefore, GCD of numbers 608, 344, 131, 609 is 1

Given Input Data is 608, 344, 131, 609

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 131 is 131

Prime Factorization of 609 is 3 x 7 x 29

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(608, 344) = 26144

GCD(608, 344) = ( 608 x 344 ) / 26144

GCD(608, 344) = 209152 / 26144

GCD(608, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 131

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

LCM(8, 131) = 1048

GCD(8, 131) = ( 8 x 131 ) / 1048

GCD(8, 131) = 1048 / 1048

GCD(8, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 608, 344, 131, 609 is 1

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1. What is the GCD of 608, 344, 131, 609?

GCD of 608, 344, 131, 609 is 1

2. Where do I get the detailed procedure to find GCD of 608, 344, 131, 609?

You can find a detailed procedure to find GCD of 608, 344, 131, 609 on our page.

3. How to find GCD of 608, 344, 131, 609 on a calculator?

You can find the GCD of 608, 344, 131, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.