GCD of 264, 966, 428, 598 Calculator

Given Input numbers are 264, 966, 428, 598

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (264, 966, 428, 598) = 2.

Given numbers are 264, 966, 428, 598

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 264, 966, 428, 598 is 2.

Given numbers are 264, 966, 428, 598

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

Apply this formula for all numbers.

Step1:

LCM(264, 966) = 42504

GCD(264, 966) = ( 264 x 966 ) / 42504

= 264 / 966

= 264

Step2:

LCM(6, 428) = 1284

GCD(6, 428) = ( 6 x 428 ) / 1284

= 6 / 428

= 6

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 264, 966, 428, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 129, 996, 739
• GCD of 733, 617, 572, 231
• GCD of 721, 139, 758, 624
• GCD of 187, 502, 203, 721
• GCD of 687, 409, 521, 824

Given numbers are 264, 966, 428, 598
The greatest common divisor of numbers 264, 966, 428, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 966, 428, 598 is 2.

1. What is the GCD of 264, 966, 428, 598?

GCD of given numbers 264, 966, 428, 598 is 2

2. How to calculate the greatest common divisor of 264, 966, 428, 598?

We can find the highest common divisor of 264, 966, 428, 598 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 264, 966, 428, 598 i.e 2.

3. How can I use the GCD of 264, 966, 428, 598Calculator?

Out the numbers 264, 966, 428, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.