GCD of 297, 414, 295, 632 Calculator

Given Input numbers are 297, 414, 295, 632

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 297, 414, 295, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 414, 295, 632 is 1.

Therefore, GCD of numbers 297, 414, 295, 632 is 1

Given Input Data is 297, 414, 295, 632

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 295 is 5 x 59

Prime Factorization of 632 is 2 x 2 x 2 x 79

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, 414) = 13662

GCD(297, 414) = ( 297 x 414 ) / 13662

GCD(297, 414) = 122958 / 13662

GCD(297, 414) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 295

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

LCM(9, 295) = 2655

GCD(9, 295) = ( 9 x 295 ) / 2655

GCD(9, 295) = 2655 / 2655

GCD(9, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 297, 414, 295, 632 is 1

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• GCD of 656, 675, 642, 183

1. What is the GCD of 297, 414, 295, 632?

GCD of 297, 414, 295, 632 is 1

2. Where do I get the detailed procedure to find GCD of 297, 414, 295, 632?

You can find a detailed procedure to find GCD of 297, 414, 295, 632 on our page.

3. How to find GCD of 297, 414, 295, 632 on a calculator?

You can find the GCD of 297, 414, 295, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.