GCD of 489, 723, 348, 978 Calculator

Given Input numbers are 489, 723, 348, 978

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (489, 723, 348, 978) = 3.

Given numbers are 489, 723, 348, 978

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 723 are 3 x 241

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 489, 723, 348, 978 is 3.

Given numbers are 489, 723, 348, 978

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

Apply this formula for all numbers.

Step1:

LCM(489, 723) = 117849

GCD(489, 723) = ( 489 x 723 ) / 117849

= 489 / 723

= 489

Step2:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

Step3:

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

= 3 / 978

= 3

So, Greatest Common Divisor of 489, 723, 348, 978 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 747, 712, 418
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Given numbers are 489, 723, 348, 978
The greatest common divisor of numbers 489, 723, 348, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 723, 348, 978 is 3.

1. What is the GCD of 489, 723, 348, 978?

GCD of given numbers 489, 723, 348, 978 is 3

2. How to calculate the greatest common divisor of 489, 723, 348, 978?

We can find the highest common divisor of 489, 723, 348, 978 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, 723, 348, 978 i.e 3.

3. How can I use the GCD of 489, 723, 348, 978Calculator?

Out the numbers 489, 723, 348, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.