GCD of 387, 489, 309 Calculator

Given Input numbers are 387, 489, 309

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (387, 489, 309) = 3.

Given numbers are 387, 489, 309

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 489 are 3 x 163

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 387, 489, 309 is 3.

Given numbers are 387, 489, 309

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

Apply this formula for all numbers.

Step1:

LCM(387, 489) = 63081

GCD(387, 489) = ( 387 x 489 ) / 63081

= 387 / 489

= 387

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

So, Greatest Common Divisor of 387, 489, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 767, 511
• GCD of 956, 410, 755
• GCD of 198, 229, 119
• GCD of 418, 767, 690
• GCD of 597, 741, 568

Given numbers are 387, 489, 309
The greatest common divisor of numbers 387, 489, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 489, 309 is 3.

1. What is the GCD of 387, 489, 309?

GCD of given numbers 387, 489, 309 is 3

2. How to calculate the greatest common divisor of 387, 489, 309?

We can find the highest common divisor of 387, 489, 309 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 387, 489, 309 i.e 3.

3. How can I use the GCD of 387, 489, 309Calculator?

Out the numbers 387, 489, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.