GCD of 297, 346, 446, 920 Calculator

Given Input numbers are 297, 346, 446, 920

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 297, 346, 446, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 346, 446, 920 is 1.

Therefore, GCD of numbers 297, 346, 446, 920 is 1

Given Input Data is 297, 346, 446, 920

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 346 is 2 x 173

Prime Factorization of 446 is 2 x 223

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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, 346) = 102762

GCD(297, 346) = ( 297 x 346 ) / 102762

GCD(297, 346) = 102762 / 102762

GCD(297, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 297, 346, 446, 920 is 1

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1. What is the GCD of 297, 346, 446, 920?

GCD of 297, 346, 446, 920 is 1

2. Where do I get the detailed procedure to find GCD of 297, 346, 446, 920?

You can find a detailed procedure to find GCD of 297, 346, 446, 920 on our page.

3. How to find GCD of 297, 346, 446, 920 on a calculator?

You can find the GCD of 297, 346, 446, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.