GCD of 432, 489, 969, 747 Calculator

Given Input numbers are 432, 489, 969, 747

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (432, 489, 969, 747) = 3.

Given numbers are 432, 489, 969, 747

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 489 are 3 x 163

Prime factors of 969 are 3 x 17 x 19

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 432, 489, 969, 747 is 3.

Given numbers are 432, 489, 969, 747

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

Apply this formula for all numbers.

Step1:

LCM(432, 489) = 70416

GCD(432, 489) = ( 432 x 489 ) / 70416

= 432 / 489

= 432

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 432, 489, 969, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 123, 414, 365
• GCD of 896, 815, 541, 829
• GCD of 534, 357, 105, 326
• GCD of 248, 708, 450, 495
• GCD of 962, 155, 109, 412

Given numbers are 432, 489, 969, 747
The greatest common divisor of numbers 432, 489, 969, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 489, 969, 747 is 3.

1. What is the GCD of 432, 489, 969, 747?

GCD of given numbers 432, 489, 969, 747 is 3

2. How to calculate the greatest common divisor of 432, 489, 969, 747?

We can find the highest common divisor of 432, 489, 969, 747 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 432, 489, 969, 747 i.e 3.

3. How can I use the GCD of 432, 489, 969, 747Calculator?

Out the numbers 432, 489, 969, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.