GCD of 840, 406, 14, 297 Calculator

Given Input numbers are 840, 406, 14, 297

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 297

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

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

Greatest Common Divisior

We found the divisors of 840, 406, 14, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 406, 14, 297 is 1.

Therefore, GCD of numbers 840, 406, 14, 297 is 1

Given Input Data is 840, 406, 14, 297

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 14 is 2 x 7

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

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(840, 406) = 24360

GCD(840, 406) = ( 840 x 406 ) / 24360

GCD(840, 406) = 341040 / 24360

GCD(840, 406) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 14

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

LCM(14, 14) = 14

GCD(14, 14) = ( 14 x 14 ) / 14

GCD(14, 14) = 196 / 14

GCD(14, 14) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 297

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

LCM(14, 297) = 4158

GCD(14, 297) = ( 14 x 297 ) / 4158

GCD(14, 297) = 4158 / 4158

GCD(14, 297) = 1

GCD of 840, 406, 14, 297 is 1

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• GCD of 718, 825, 93, 709
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1. What is the GCD of 840, 406, 14, 297?

GCD of 840, 406, 14, 297 is 1

2. Where do I get the detailed procedure to find GCD of 840, 406, 14, 297?

You can find a detailed procedure to find GCD of 840, 406, 14, 297 on our page.

3. How to find GCD of 840, 406, 14, 297 on a calculator?

You can find the GCD of 840, 406, 14, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.