GCD of 489, 438, 423, 114 Calculator

Given Input numbers are 489, 438, 423, 114

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 423 :

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

1, 3, 9, 47, 141, 423

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (489, 438, 423, 114) = 3.

Given numbers are 489, 438, 423, 114

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 438 are 2 x 3 x 73

Prime factors of 423 are 3 x 3 x 47

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 489, 438, 423, 114 is 3.

Given numbers are 489, 438, 423, 114

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

Apply this formula for all numbers.

Step1:

LCM(489, 438) = 71394

GCD(489, 438) = ( 489 x 438 ) / 71394

= 489 / 438

= 489

Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

Step3:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 489, 438, 423, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 828, 204, 591
• GCD of 790, 521, 347, 869
• GCD of 543, 545, 117, 193
• GCD of 127, 622, 641, 103
• GCD of 991, 465, 486, 133

Given numbers are 489, 438, 423, 114
The greatest common divisor of numbers 489, 438, 423, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 438, 423, 114 is 3.

1. What is the GCD of 489, 438, 423, 114?

GCD of given numbers 489, 438, 423, 114 is 3

2. How to calculate the greatest common divisor of 489, 438, 423, 114?

We can find the highest common divisor of 489, 438, 423, 114 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, 438, 423, 114 i.e 3.

3. How can I use the GCD of 489, 438, 423, 114Calculator?

Out the numbers 489, 438, 423, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.