GCD of 966, 796, 872, 338 Calculator

Given Input numbers are 966, 796, 872, 338

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

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (966, 796, 872, 338) = 2.

Given numbers are 966, 796, 872, 338

The list of prime factors of all numbers are

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

Prime factors of 796 are 2 x 2 x 199

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 966, 796, 872, 338 is 2.

Given numbers are 966, 796, 872, 338

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

Apply this formula for all numbers.

Step1:

LCM(966, 796) = 384468

GCD(966, 796) = ( 966 x 796 ) / 384468

= 966 / 796

= 966

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 966, 796, 872, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 894, 195, 779
• GCD of 812, 686, 914, 100
• GCD of 645, 598, 758, 100
• GCD of 636, 153, 850, 564
• GCD of 843, 709, 316, 459

Given numbers are 966, 796, 872, 338
The greatest common divisor of numbers 966, 796, 872, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 796, 872, 338 is 2.

1. What is the GCD of 966, 796, 872, 338?

GCD of given numbers 966, 796, 872, 338 is 2

2. How to calculate the greatest common divisor of 966, 796, 872, 338?

We can find the highest common divisor of 966, 796, 872, 338 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 966, 796, 872, 338 i.e 2.

3. How can I use the GCD of 966, 796, 872, 338Calculator?

Out the numbers 966, 796, 872, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.