GCD of 399, 261, 117, 384 Calculator

Given Input numbers are 399, 261, 117, 384

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (399, 261, 117, 384) = 3.

Given numbers are 399, 261, 117, 384

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 261 are 3 x 3 x 29

Prime factors of 117 are 3 x 3 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 399, 261, 117, 384 is 3.

Given numbers are 399, 261, 117, 384

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

Apply this formula for all numbers.

Step1:

LCM(399, 261) = 34713

GCD(399, 261) = ( 399 x 261 ) / 34713

= 399 / 261

= 399

Step2:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

Step3:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

So, Greatest Common Divisor of 399, 261, 117, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 724, 133, 305
• GCD of 790, 931, 140, 549
• GCD of 839, 983, 141, 829
• GCD of 232, 569, 715, 361
• GCD of 139, 540, 386, 524

Given numbers are 399, 261, 117, 384
The greatest common divisor of numbers 399, 261, 117, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 261, 117, 384 is 3.

1. What is the GCD of 399, 261, 117, 384?

GCD of given numbers 399, 261, 117, 384 is 3

2. How to calculate the greatest common divisor of 399, 261, 117, 384?

We can find the highest common divisor of 399, 261, 117, 384 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 399, 261, 117, 384 i.e 3.

3. How can I use the GCD of 399, 261, 117, 384Calculator?

Out the numbers 399, 261, 117, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.