GCD of 492, 789, 171, 288 Calculator

Given Input numbers are 492, 789, 171, 288

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (492, 789, 171, 288) = 3.

Given numbers are 492, 789, 171, 288

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 789 are 3 x 263

Prime factors of 171 are 3 x 3 x 19

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 492, 789, 171, 288 is 3.

Given numbers are 492, 789, 171, 288

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

Apply this formula for all numbers.

Step1:

LCM(492, 789) = 129396

GCD(492, 789) = ( 492 x 789 ) / 129396

= 492 / 789

= 492

Step2:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 492, 789, 171, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 235, 921, 756
• GCD of 914, 680, 613, 648
• GCD of 502, 535, 993, 200
• GCD of 691, 621, 271, 788
• GCD of 833, 270, 550, 688

Given numbers are 492, 789, 171, 288
The greatest common divisor of numbers 492, 789, 171, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 789, 171, 288 is 3.

1. What is the GCD of 492, 789, 171, 288?

GCD of given numbers 492, 789, 171, 288 is 3

2. How to calculate the greatest common divisor of 492, 789, 171, 288?

We can find the highest common divisor of 492, 789, 171, 288 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 492, 789, 171, 288 i.e 3.

3. How can I use the GCD of 492, 789, 171, 288Calculator?

Out the numbers 492, 789, 171, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.