GCD of 608, 935, 341, 171 Calculator

Given Input numbers are 608, 935, 341, 171

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 608, 935, 341, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 935, 341, 171 is 1.

Therefore, GCD of numbers 608, 935, 341, 171 is 1

Given Input Data is 608, 935, 341, 171

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 935 is 5 x 11 x 17

Prime Factorization of 341 is 11 x 31

Prime Factorization of 171 is 3 x 3 x 19

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, 935) = 568480

GCD(608, 935) = ( 608 x 935 ) / 568480

GCD(608, 935) = 568480 / 568480

GCD(608, 935) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 608, 935, 341, 171 is 1

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1. What is the GCD of 608, 935, 341, 171?

GCD of 608, 935, 341, 171 is 1

2. Where do I get the detailed procedure to find GCD of 608, 935, 341, 171?

You can find a detailed procedure to find GCD of 608, 935, 341, 171 on our page.

3. How to find GCD of 608, 935, 341, 171 on a calculator?

You can find the GCD of 608, 935, 341, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.