GCD of 384, 342, 370 Calculator

Given Input numbers are 384, 342, 370

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (384, 342, 370) = 2.

Given numbers are 384, 342, 370

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 342 are 2 x 3 x 3 x 19

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 384, 342, 370 is 2.

Given numbers are 384, 342, 370

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

Apply this formula for all numbers.

Step1:

LCM(384, 342) = 21888

GCD(384, 342) = ( 384 x 342 ) / 21888

= 384 / 342

= 384

Step2:

LCM(6, 370) = 1110

GCD(6, 370) = ( 6 x 370 ) / 1110

= 6 / 370

= 6

So, Greatest Common Divisor of 384, 342, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 729, 290
• GCD of 604, 439, 738
• GCD of 895, 298, 983
• GCD of 190, 900, 805
• GCD of 846, 484, 747

Given numbers are 384, 342, 370
The greatest common divisor of numbers 384, 342, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 342, 370 is 2.

1. What is the GCD of 384, 342, 370?

GCD of given numbers 384, 342, 370 is 2

2. How to calculate the greatest common divisor of 384, 342, 370?

We can find the highest common divisor of 384, 342, 370 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, 342, 370 i.e 2.

3. How can I use the GCD of 384, 342, 370Calculator?

Out the numbers 384, 342, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.