GCD of 423, 765, 489, 720 Calculator

Given Input numbers are 423, 765, 489, 720

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 489 :

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

1, 3, 163, 489

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

GCD of numbers is the greatest common divisor

So, the GCD (423, 765, 489, 720) = 3.

Given numbers are 423, 765, 489, 720

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 489 are 3 x 163

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

The highest common occurrence is 3¹

Therefore, GCD of 423, 765, 489, 720 is 3.

Given numbers are 423, 765, 489, 720

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

Apply this formula for all numbers.

Step1:

LCM(423, 765) = 35955

GCD(423, 765) = ( 423 x 765 ) / 35955

= 423 / 765

= 423

Step2:

LCM(9, 489) = 1467

GCD(9, 489) = ( 9 x 489 ) / 1467

= 9 / 489

= 9

Step3:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

So, Greatest Common Divisor of 423, 765, 489, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 844, 420, 470
• GCD of 530, 534, 680, 717
• GCD of 738, 380, 599, 849
• GCD of 325, 358, 623, 639
• GCD of 501, 609, 682, 394

Given numbers are 423, 765, 489, 720
The greatest common divisor of numbers 423, 765, 489, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 765, 489, 720 is 3.

1. What is the GCD of 423, 765, 489, 720?

GCD of given numbers 423, 765, 489, 720 is 3

2. How to calculate the greatest common divisor of 423, 765, 489, 720?

We can find the highest common divisor of 423, 765, 489, 720 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 423, 765, 489, 720 i.e 3.

3. How can I use the GCD of 423, 765, 489, 720Calculator?

Out the numbers 423, 765, 489, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.