GCD of 344, 428, 966, 404 Calculator

Given Input numbers are 344, 428, 966, 404

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 404 :

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

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (344, 428, 966, 404) = 2.

Given numbers are 344, 428, 966, 404

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 344, 428, 966, 404 is 2.

Given numbers are 344, 428, 966, 404

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

Apply this formula for all numbers.

Step1:

LCM(344, 428) = 36808

GCD(344, 428) = ( 344 x 428 ) / 36808

= 344 / 428

= 344

Step2:

LCM(4, 966) = 1932

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

= 4 / 966

= 4

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 344, 428, 966, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 302, 837, 294
• GCD of 475, 635, 388, 601
• GCD of 301, 196, 972, 728
• GCD of 758, 446, 280, 274
• GCD of 866, 616, 166, 932

Given numbers are 344, 428, 966, 404
The greatest common divisor of numbers 344, 428, 966, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 428, 966, 404 is 2.

1. What is the GCD of 344, 428, 966, 404?

GCD of given numbers 344, 428, 966, 404 is 2

2. How to calculate the greatest common divisor of 344, 428, 966, 404?

We can find the highest common divisor of 344, 428, 966, 404 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 344, 428, 966, 404 i.e 2.

3. How can I use the GCD of 344, 428, 966, 404Calculator?

Out the numbers 344, 428, 966, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.