GCD of 378, 312, 384, 644 Calculator

Given Input numbers are 378, 312, 384, 644

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (378, 312, 384, 644) = 2.

Given numbers are 378, 312, 384, 644

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 378, 312, 384, 644 is 2.

Given numbers are 378, 312, 384, 644

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

Apply this formula for all numbers.

Step1:

LCM(378, 312) = 19656

GCD(378, 312) = ( 378 x 312 ) / 19656

= 378 / 312

= 378

Step2:

LCM(6, 384) = 384

GCD(6, 384) = ( 6 x 384 ) / 384

= 6 / 384

= 6

Step3:

LCM(6, 644) = 1932

GCD(6, 644) = ( 6 x 644 ) / 1932

= 6 / 644

= 6

So, Greatest Common Divisor of 378, 312, 384, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 395, 492, 592
• GCD of 622, 794, 166, 781
• GCD of 176, 908, 613, 351
• GCD of 988, 794, 540, 692
• GCD of 194, 858, 409, 482

Given numbers are 378, 312, 384, 644
The greatest common divisor of numbers 378, 312, 384, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 312, 384, 644 is 2.

1. What is the GCD of 378, 312, 384, 644?

GCD of given numbers 378, 312, 384, 644 is 2

2. How to calculate the greatest common divisor of 378, 312, 384, 644?

We can find the highest common divisor of 378, 312, 384, 644 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 378, 312, 384, 644 i.e 2.

3. How can I use the GCD of 378, 312, 384, 644Calculator?

Out the numbers 378, 312, 384, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.