GCD of 489, 776, 714, 643 Calculator

Given Input numbers are 489, 776, 714, 643

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 489, 776, 714, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 776, 714, 643 is 1.

Therefore, GCD of numbers 489, 776, 714, 643 is 1

Given Input Data is 489, 776, 714, 643

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 776 is 2 x 2 x 2 x 97

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

Prime Factorization of 643 is 643

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(489, 776) = 379464

GCD(489, 776) = ( 489 x 776 ) / 379464

GCD(489, 776) = 379464 / 379464

GCD(489, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 489, 776, 714, 643 is 1

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1. What is the GCD of 489, 776, 714, 643?

GCD of 489, 776, 714, 643 is 1

2. Where do I get the detailed procedure to find GCD of 489, 776, 714, 643?

You can find a detailed procedure to find GCD of 489, 776, 714, 643 on our page.

3. How to find GCD of 489, 776, 714, 643 on a calculator?

You can find the GCD of 489, 776, 714, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.