GCD of 331, 354, 735 Calculator

Given Input numbers are 331, 354, 735

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 331, 354, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 354, 735 is 1.

Therefore, GCD of numbers 331, 354, 735 is 1

Given Input Data is 331, 354, 735

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

Prime Factorization of 331 is 331

Prime Factorization of 354 is 2 x 3 x 59

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(331, 354) = 117174

GCD(331, 354) = ( 331 x 354 ) / 117174

GCD(331, 354) = 117174 / 117174

GCD(331, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 331, 354, 735 is 1

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1. What is the GCD of 331, 354, 735?

GCD of 331, 354, 735 is 1

2. Where do I get the detailed procedure to find GCD of 331, 354, 735?

You can find a detailed procedure to find GCD of 331, 354, 735 on our page.

3. How to find GCD of 331, 354, 735 on a calculator?

You can find the GCD of 331, 354, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.