GCD of 804, 438, 966, 678 Calculator

Given Input numbers are 804, 438, 966, 678

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 438 :

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

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (804, 438, 966, 678) = 6.

Given numbers are 804, 438, 966, 678

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 438 are 2 x 3 x 73

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 804, 438, 966, 678 is 6.

Given numbers are 804, 438, 966, 678

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

Apply this formula for all numbers.

Step1:

LCM(804, 438) = 58692

GCD(804, 438) = ( 804 x 438 ) / 58692

= 804 / 438

= 804

Step2:

LCM(6, 966) = 966

GCD(6, 966) = ( 6 x 966 ) / 966

= 6 / 966

= 6

Step3:

LCM(6, 678) = 678

GCD(6, 678) = ( 6 x 678 ) / 678

= 6 / 678

= 6

So, Greatest Common Divisor of 804, 438, 966, 678 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 266, 712, 339
• GCD of 111, 926, 382, 749
• GCD of 564, 884, 260, 472
• GCD of 704, 311, 163, 366
• GCD of 819, 983, 267, 294

Given numbers are 804, 438, 966, 678
The greatest common divisor of numbers 804, 438, 966, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 438, 966, 678 is 6.

1. What is the GCD of 804, 438, 966, 678?

GCD of given numbers 804, 438, 966, 678 is 6

2. How to calculate the greatest common divisor of 804, 438, 966, 678?

We can find the highest common divisor of 804, 438, 966, 678 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 804, 438, 966, 678 i.e 6.

3. How can I use the GCD of 804, 438, 966, 678Calculator?

Out the numbers 804, 438, 966, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.