GCD of 496, 326, 364, 960 Calculator

Given Input numbers are 496, 326, 364, 960

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (496, 326, 364, 960) = 2.

Given numbers are 496, 326, 364, 960

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 326 are 2 x 163

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 496, 326, 364, 960 is 2.

Given numbers are 496, 326, 364, 960

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

Apply this formula for all numbers.

Step1:

LCM(496, 326) = 80848

GCD(496, 326) = ( 496 x 326 ) / 80848

= 496 / 326

= 496

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 496, 326, 364, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 107, 911, 411
• GCD of 581, 605, 738, 319
• GCD of 696, 739, 688, 734
• GCD of 475, 772, 242, 967
• GCD of 398, 598, 258, 113

Given numbers are 496, 326, 364, 960
The greatest common divisor of numbers 496, 326, 364, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 326, 364, 960 is 2.

1. What is the GCD of 496, 326, 364, 960?

GCD of given numbers 496, 326, 364, 960 is 2

2. How to calculate the greatest common divisor of 496, 326, 364, 960?

We can find the highest common divisor of 496, 326, 364, 960 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 496, 326, 364, 960 i.e 2.

3. How can I use the GCD of 496, 326, 364, 960Calculator?

Out the numbers 496, 326, 364, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.