GCD of 966, 676, 410, 728 Calculator

Given Input numbers are 966, 676, 410, 728

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (966, 676, 410, 728) = 2.

Given numbers are 966, 676, 410, 728

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 410 are 2 x 5 x 41

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 966, 676, 410, 728 is 2.

Given numbers are 966, 676, 410, 728

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

Apply this formula for all numbers.

Step1:

LCM(966, 676) = 326508

GCD(966, 676) = ( 966 x 676 ) / 326508

= 966 / 676

= 966

Step2:

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

= 2 / 410

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 966, 676, 410, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 774, 223, 419
• GCD of 364, 729, 502, 836
• GCD of 514, 333, 597, 477
• GCD of 593, 859, 421, 610
• GCD of 444, 999, 687, 184

Given numbers are 966, 676, 410, 728
The greatest common divisor of numbers 966, 676, 410, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 676, 410, 728 is 2.

1. What is the GCD of 966, 676, 410, 728?

GCD of given numbers 966, 676, 410, 728 is 2

2. How to calculate the greatest common divisor of 966, 676, 410, 728?

We can find the highest common divisor of 966, 676, 410, 728 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, 676, 410, 728 i.e 2.

3. How can I use the GCD of 966, 676, 410, 728Calculator?

Out the numbers 966, 676, 410, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.