GCD of 210, 459, 318, 314 Calculator

Given Input numbers are 210, 459, 318, 314

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 210, 459, 318, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 459, 318, 314 is 1.

Therefore, GCD of numbers 210, 459, 318, 314 is 1

Given Input Data is 210, 459, 318, 314

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 314 is 2 x 157

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(210, 459) = 32130

GCD(210, 459) = ( 210 x 459 ) / 32130

GCD(210, 459) = 96390 / 32130

GCD(210, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

GCD of 210, 459, 318, 314 is 1

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• GCD of 660, 193, 385, 152
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1. What is the GCD of 210, 459, 318, 314?

GCD of 210, 459, 318, 314 is 1

2. Where do I get the detailed procedure to find GCD of 210, 459, 318, 314?

You can find a detailed procedure to find GCD of 210, 459, 318, 314 on our page.

3. How to find GCD of 210, 459, 318, 314 on a calculator?

You can find the GCD of 210, 459, 318, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.