GCD of 297, 912, 847, 354 Calculator

Given Input numbers are 297, 912, 847, 354

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

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 354

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

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

Greatest Common Divisior

We found the divisors of 297, 912, 847, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 912, 847, 354 is 1.

Therefore, GCD of numbers 297, 912, 847, 354 is 1

Given Input Data is 297, 912, 847, 354

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

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 354 is 2 x 3 x 59

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(297, 912) = 90288

GCD(297, 912) = ( 297 x 912 ) / 90288

GCD(297, 912) = 270864 / 90288

GCD(297, 912) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 847

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

LCM(3, 847) = 2541

GCD(3, 847) = ( 3 x 847 ) / 2541

GCD(3, 847) = 2541 / 2541

GCD(3, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 297, 912, 847, 354 is 1

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1. What is the GCD of 297, 912, 847, 354?

GCD of 297, 912, 847, 354 is 1

2. Where do I get the detailed procedure to find GCD of 297, 912, 847, 354?

You can find a detailed procedure to find GCD of 297, 912, 847, 354 on our page.

3. How to find GCD of 297, 912, 847, 354 on a calculator?

You can find the GCD of 297, 912, 847, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.