GCD of 945, 214, 489, 368 Calculator

Given Input numbers are 945, 214, 489, 368

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 945, 214, 489, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 214, 489, 368 is 1.

Therefore, GCD of numbers 945, 214, 489, 368 is 1

Given Input Data is 945, 214, 489, 368

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 214 is 2 x 107

Prime Factorization of 489 is 3 x 163

Prime Factorization of 368 is 2 x 2 x 2 x 2 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(945, 214) = 202230

GCD(945, 214) = ( 945 x 214 ) / 202230

GCD(945, 214) = 202230 / 202230

GCD(945, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 945, 214, 489, 368 is 1

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1. What is the GCD of 945, 214, 489, 368?

GCD of 945, 214, 489, 368 is 1

2. Where do I get the detailed procedure to find GCD of 945, 214, 489, 368?

You can find a detailed procedure to find GCD of 945, 214, 489, 368 on our page.

3. How to find GCD of 945, 214, 489, 368 on a calculator?

You can find the GCD of 945, 214, 489, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.