GCD of 966, 782, 406, 336 Calculator

Given Input numbers are 966, 782, 406, 336

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (966, 782, 406, 336) = 2.

Given numbers are 966, 782, 406, 336

The list of prime factors of all numbers are

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

Prime factors of 782 are 2 x 17 x 23

Prime factors of 406 are 2 x 7 x 29

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 966, 782, 406, 336 is 2.

Given numbers are 966, 782, 406, 336

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

Apply this formula for all numbers.

Step1:

LCM(966, 782) = 16422

GCD(966, 782) = ( 966 x 782 ) / 16422

= 966 / 782

= 966

Step2:

LCM(46, 406) = 9338

GCD(46, 406) = ( 46 x 406 ) / 9338

= 46 / 406

= 46

Step3:

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

= 2 / 336

= 2

So, Greatest Common Divisor of 966, 782, 406, 336 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 914, 137, 826
• GCD of 392, 839, 722, 838
• GCD of 643, 578, 874, 639
• GCD of 810, 978, 880, 878
• GCD of 158, 347, 952, 626

Given numbers are 966, 782, 406, 336
The greatest common divisor of numbers 966, 782, 406, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 782, 406, 336 is 2.

1. What is the GCD of 966, 782, 406, 336?

GCD of given numbers 966, 782, 406, 336 is 2

2. How to calculate the greatest common divisor of 966, 782, 406, 336?

We can find the highest common divisor of 966, 782, 406, 336 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, 782, 406, 336 i.e 2.

3. How can I use the GCD of 966, 782, 406, 336Calculator?

Out the numbers 966, 782, 406, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.