GCD of 308, 404, 966, 676 Calculator

Given Input numbers are 308, 404, 966, 676

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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

GCD of numbers is the greatest common divisor

So, the GCD (308, 404, 966, 676) = 2.

Given numbers are 308, 404, 966, 676

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 404 are 2 x 2 x 101

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

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

The highest common occurrence is 2¹

Therefore, GCD of 308, 404, 966, 676 is 2.

Given numbers are 308, 404, 966, 676

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

Apply this formula for all numbers.

Step1:

LCM(308, 404) = 31108

GCD(308, 404) = ( 308 x 404 ) / 31108

= 308 / 404

= 308

Step2:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 308, 404, 966, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 558, 814, 766
• GCD of 772, 162, 852, 241
• GCD of 365, 824, 984, 776
• GCD of 868, 572, 619, 456
• GCD of 367, 916, 138, 640

Given numbers are 308, 404, 966, 676
The greatest common divisor of numbers 308, 404, 966, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 404, 966, 676 is 2.

1. What is the GCD of 308, 404, 966, 676?

GCD of given numbers 308, 404, 966, 676 is 2

2. How to calculate the greatest common divisor of 308, 404, 966, 676?

We can find the highest common divisor of 308, 404, 966, 676 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 308, 404, 966, 676 i.e 2.

3. How can I use the GCD of 308, 404, 966, 676Calculator?

Out the numbers 308, 404, 966, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.