GCD of 496, 296, 960, 256 Calculator

Given Input numbers are 496, 296, 960, 256

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

GCD of numbers is the greatest common divisor

So, the GCD (496, 296, 960, 256) = 8.

Given numbers are 496, 296, 960, 256

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 296 are 2 x 2 x 2 x 37

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

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2³

Therefore, GCD of 496, 296, 960, 256 is 8.

Given numbers are 496, 296, 960, 256

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

Apply this formula for all numbers.

Step1:

LCM(496, 296) = 18352

GCD(496, 296) = ( 496 x 296 ) / 18352

= 496 / 296

= 496

Step2:

LCM(8, 960) = 960

GCD(8, 960) = ( 8 x 960 ) / 960

= 8 / 960

= 8

Step3:

LCM(8, 256) = 256

GCD(8, 256) = ( 8 x 256 ) / 256

= 8 / 256

= 8

So, Greatest Common Divisor of 496, 296, 960, 256 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 710, 131, 179
• GCD of 497, 928, 638, 932
• GCD of 277, 982, 189, 724
• GCD of 733, 126, 651, 425
• GCD of 750, 490, 300, 518

Given numbers are 496, 296, 960, 256
The greatest common divisor of numbers 496, 296, 960, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 296, 960, 256 is 8.

1. What is the GCD of 496, 296, 960, 256?

GCD of given numbers 496, 296, 960, 256 is 8

2. How to calculate the greatest common divisor of 496, 296, 960, 256?

We can find the highest common divisor of 496, 296, 960, 256 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, 296, 960, 256 i.e 8.

3. How can I use the GCD of 496, 296, 960, 256Calculator?

Out the numbers 496, 296, 960, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.