GCD of 377, 577, 34, 296 Calculator

Given Input numbers are 377, 577, 34, 296

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 377, 577, 34, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 577, 34, 296 is 1.

Therefore, GCD of numbers 377, 577, 34, 296 is 1

Given Input Data is 377, 577, 34, 296

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 577 is 577

Prime Factorization of 34 is 2 x 17

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(377, 577) = 217529

GCD(377, 577) = ( 377 x 577 ) / 217529

GCD(377, 577) = 217529 / 217529

GCD(377, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 377, 577, 34, 296 is 1

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1. What is the GCD of 377, 577, 34, 296?

GCD of 377, 577, 34, 296 is 1

2. Where do I get the detailed procedure to find GCD of 377, 577, 34, 296?

You can find a detailed procedure to find GCD of 377, 577, 34, 296 on our page.

3. How to find GCD of 377, 577, 34, 296 on a calculator?

You can find the GCD of 377, 577, 34, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.