GCD of 315, 966, 297, 734 Calculator

Given Input numbers are 315, 966, 297, 734

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 315, 966, 297, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 966, 297, 734 is 1.

Therefore, GCD of numbers 315, 966, 297, 734 is 1

Given Input Data is 315, 966, 297, 734

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 734 is 2 x 367

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(315, 966) = 14490

GCD(315, 966) = ( 315 x 966 ) / 14490

GCD(315, 966) = 304290 / 14490

GCD(315, 966) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 297

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

LCM(21, 297) = 2079

GCD(21, 297) = ( 21 x 297 ) / 2079

GCD(21, 297) = 6237 / 2079

GCD(21, 297) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 734

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

LCM(3, 734) = 2202

GCD(3, 734) = ( 3 x 734 ) / 2202

GCD(3, 734) = 2202 / 2202

GCD(3, 734) = 1

GCD of 315, 966, 297, 734 is 1

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1. What is the GCD of 315, 966, 297, 734?

GCD of 315, 966, 297, 734 is 1

2. Where do I get the detailed procedure to find GCD of 315, 966, 297, 734?

You can find a detailed procedure to find GCD of 315, 966, 297, 734 on our page.

3. How to find GCD of 315, 966, 297, 734 on a calculator?

You can find the GCD of 315, 966, 297, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.