GCD of 489, 721, 333, 714 Calculator

Given Input numbers are 489, 721, 333, 714

In the factoring method, we have to find the divisors of all numbers

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 721, 333, 714) = 1.

Given numbers are 489, 721, 333, 714

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 721 are 7 x 103

Prime factors of 333 are 3 x 3 x 37

Prime factors of 714 are 2 x 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 489, 721, 333, 714

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(489, 721) = 352569

GCD(489, 721) = ( 489 x 721 ) / 352569

= 489 / 721

= 489

Step2:

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

= 1 / 333

= 1

Step3:

LCM(1, 714) = 714

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

= 1 / 714

= 1

So, Greatest Common Divisor of 489, 721, 333, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 544, 151, 876
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Given numbers are 489, 721, 333, 714
The greatest common divisor of numbers 489, 721, 333, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 721, 333, 714 is 1.

1. What is the GCD of 489, 721, 333, 714?

GCD of given numbers 489, 721, 333, 714 is 1

2. How to calculate the greatest common divisor of 489, 721, 333, 714?

We can find the highest common divisor of 489, 721, 333, 714 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 489, 721, 333, 714 i.e 1.

3. How can I use the GCD of 489, 721, 333, 714Calculator?

Out the numbers 489, 721, 333, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.