GCD of 768, 884, 646, 438 Calculator

Given Input numbers are 768, 884, 646, 438

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (768, 884, 646, 438) = 2.

Given numbers are 768, 884, 646, 438

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 646 are 2 x 17 x 19

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 768, 884, 646, 438 is 2.

Given numbers are 768, 884, 646, 438

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

Apply this formula for all numbers.

Step1:

LCM(768, 884) = 169728

GCD(768, 884) = ( 768 x 884 ) / 169728

= 768 / 884

= 768

Step2:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 768, 884, 646, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 410, 656, 257
• GCD of 559, 793, 849, 957
• GCD of 953, 675, 199, 618
• GCD of 505, 931, 838, 827
• GCD of 236, 846, 732, 156

Given numbers are 768, 884, 646, 438
The greatest common divisor of numbers 768, 884, 646, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 884, 646, 438 is 2.

1. What is the GCD of 768, 884, 646, 438?

GCD of given numbers 768, 884, 646, 438 is 2

2. How to calculate the greatest common divisor of 768, 884, 646, 438?

We can find the highest common divisor of 768, 884, 646, 438 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 768, 884, 646, 438 i.e 2.

3. How can I use the GCD of 768, 884, 646, 438Calculator?

Out the numbers 768, 884, 646, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.