GCD of 384, 916, 548 Calculator

Given Input numbers are 384, 916, 548

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

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (384, 916, 548) = 4.

Given numbers are 384, 916, 548

The list of prime factors of all numbers are

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2²

Therefore, GCD of 384, 916, 548 is 4.

Given numbers are 384, 916, 548

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

Apply this formula for all numbers.

Step1:

LCM(384, 916) = 87936

GCD(384, 916) = ( 384 x 916 ) / 87936

= 384 / 916

= 384

Step2:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

So, Greatest Common Divisor of 384, 916, 548 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 968, 591
• GCD of 205, 231, 157
• GCD of 786, 168, 565
• GCD of 350, 344, 834
• GCD of 438, 340, 905

Given numbers are 384, 916, 548
The greatest common divisor of numbers 384, 916, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 916, 548 is 4.

1. What is the GCD of 384, 916, 548?

GCD of given numbers 384, 916, 548 is 4

2. How to calculate the greatest common divisor of 384, 916, 548?

We can find the highest common divisor of 384, 916, 548 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 384, 916, 548 i.e 4.

3. How can I use the GCD of 384, 916, 548Calculator?

Out the numbers 384, 916, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.