GCD of 908, 318, 291, 735 Calculator

Given Input numbers are 908, 318, 291, 735

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

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 908, 318, 291, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 318, 291, 735 is 1.

Therefore, GCD of numbers 908, 318, 291, 735 is 1

Given Input Data is 908, 318, 291, 735

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 291 is 3 x 97

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(908, 318) = 144372

GCD(908, 318) = ( 908 x 318 ) / 144372

GCD(908, 318) = 288744 / 144372

GCD(908, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

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 908, 318, 291, 735 is 1

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1. What is the GCD of 908, 318, 291, 735?

GCD of 908, 318, 291, 735 is 1

2. Where do I get the detailed procedure to find GCD of 908, 318, 291, 735?

You can find a detailed procedure to find GCD of 908, 318, 291, 735 on our page.

3. How to find GCD of 908, 318, 291, 735 on a calculator?

You can find the GCD of 908, 318, 291, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.