GCD of 714, 237, 66, 489 Calculator

Given Input numbers are 714, 237, 66, 489

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 714, 237, 66, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 237, 66, 489 is 3.

Therefore, GCD of numbers 714, 237, 66, 489 is 3

Given Input Data is 714, 237, 66, 489

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 237 is 3 x 79

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 489 is 3 x 163

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(714, 237) = 56406

GCD(714, 237) = ( 714 x 237 ) / 56406

GCD(714, 237) = 169218 / 56406

GCD(714, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 489

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

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

GCD(3, 489) = 1467 / 489

GCD(3, 489) = 3

GCD of 714, 237, 66, 489 is 3

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1. What is the GCD of 714, 237, 66, 489?

GCD of 714, 237, 66, 489 is 3

2. Where do I get the detailed procedure to find GCD of 714, 237, 66, 489?

You can find a detailed procedure to find GCD of 714, 237, 66, 489 on our page.

3. How to find GCD of 714, 237, 66, 489 on a calculator?

You can find the GCD of 714, 237, 66, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.