GCD of 388, 258, 34, 735 Calculator

Given Input numbers are 388, 258, 34, 735

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 34

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

1, 2, 17, 34

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 388, 258, 34, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 258, 34, 735 is 1.

Therefore, GCD of numbers 388, 258, 34, 735 is 1

Given Input Data is 388, 258, 34, 735

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 34 is 2 x 17

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(388, 258) = 50052

GCD(388, 258) = ( 388 x 258 ) / 50052

GCD(388, 258) = 100104 / 50052

GCD(388, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 388, 258, 34, 735 is 1

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1. What is the GCD of 388, 258, 34, 735?

GCD of 388, 258, 34, 735 is 1

2. Where do I get the detailed procedure to find GCD of 388, 258, 34, 735?

You can find a detailed procedure to find GCD of 388, 258, 34, 735 on our page.

3. How to find GCD of 388, 258, 34, 735 on a calculator?

You can find the GCD of 388, 258, 34, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.