GCD of 344, 486, 384, 308 Calculator

Given Input numbers are 344, 486, 384, 308

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (344, 486, 384, 308) = 2.

Given numbers are 344, 486, 384, 308

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 344, 486, 384, 308 is 2.

Given numbers are 344, 486, 384, 308

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

Apply this formula for all numbers.

Step1:

LCM(344, 486) = 83592

GCD(344, 486) = ( 344 x 486 ) / 83592

= 344 / 486

= 344

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 344, 486, 384, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 198, 994, 834
• GCD of 482, 630, 301, 428
• GCD of 460, 975, 126, 726
• GCD of 846, 688, 761, 607
• GCD of 102, 126, 245, 933

Given numbers are 344, 486, 384, 308
The greatest common divisor of numbers 344, 486, 384, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 486, 384, 308 is 2.

1. What is the GCD of 344, 486, 384, 308?

GCD of given numbers 344, 486, 384, 308 is 2

2. How to calculate the greatest common divisor of 344, 486, 384, 308?

We can find the highest common divisor of 344, 486, 384, 308 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 344, 486, 384, 308 i.e 2.

3. How can I use the GCD of 344, 486, 384, 308Calculator?

Out the numbers 344, 486, 384, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.