GCD of 720, 564, 894, 489 Calculator

Given Input numbers are 720, 564, 894, 489

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 489 :

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

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (720, 564, 894, 489) = 3.

Given numbers are 720, 564, 894, 489

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 894 are 2 x 3 x 149

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 720, 564, 894, 489 is 3.

Given numbers are 720, 564, 894, 489

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

Apply this formula for all numbers.

Step1:

LCM(720, 564) = 33840

GCD(720, 564) = ( 720 x 564 ) / 33840

= 720 / 564

= 720

Step2:

LCM(12, 894) = 1788

GCD(12, 894) = ( 12 x 894 ) / 1788

= 12 / 894

= 12

Step3:

LCM(6, 489) = 978

GCD(6, 489) = ( 6 x 489 ) / 978

= 6 / 489

= 6

So, Greatest Common Divisor of 720, 564, 894, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 430, 457, 226
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Given numbers are 720, 564, 894, 489
The greatest common divisor of numbers 720, 564, 894, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 564, 894, 489 is 3.

1. What is the GCD of 720, 564, 894, 489?

GCD of given numbers 720, 564, 894, 489 is 3

2. How to calculate the greatest common divisor of 720, 564, 894, 489?

We can find the highest common divisor of 720, 564, 894, 489 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 720, 564, 894, 489 i.e 3.

3. How can I use the GCD of 720, 564, 894, 489Calculator?

Out the numbers 720, 564, 894, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.