GCD of 376, 104, 289, 595 Calculator

Given Input numbers are 376, 104, 289, 595

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Greatest Common Divisior

We found the divisors of 376, 104, 289, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 104, 289, 595 is 1.

Therefore, GCD of numbers 376, 104, 289, 595 is 1

Given Input Data is 376, 104, 289, 595

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 289 is 17 x 17

Prime Factorization of 595 is 5 x 7 x 17

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(376, 104) = 4888

GCD(376, 104) = ( 376 x 104 ) / 4888

GCD(376, 104) = 39104 / 4888

GCD(376, 104) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 289

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

LCM(8, 289) = 2312

GCD(8, 289) = ( 8 x 289 ) / 2312

GCD(8, 289) = 2312 / 2312

GCD(8, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

GCD of 376, 104, 289, 595 is 1

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1. What is the GCD of 376, 104, 289, 595?

GCD of 376, 104, 289, 595 is 1

2. Where do I get the detailed procedure to find GCD of 376, 104, 289, 595?

You can find a detailed procedure to find GCD of 376, 104, 289, 595 on our page.

3. How to find GCD of 376, 104, 289, 595 on a calculator?

You can find the GCD of 376, 104, 289, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.