GCD of 512, 960, 504, 280 Calculator

Given Input numbers are 512, 960, 504, 280

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (512, 960, 504, 280) = 8.

Given numbers are 512, 960, 504, 280

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2³

Therefore, GCD of 512, 960, 504, 280 is 8.

Given numbers are 512, 960, 504, 280

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

Apply this formula for all numbers.

Step1:

LCM(512, 960) = 7680

GCD(512, 960) = ( 512 x 960 ) / 7680

= 512 / 960

= 512

Step2:

LCM(64, 504) = 4032

GCD(64, 504) = ( 64 x 504 ) / 4032

= 64 / 504

= 64

Step3:

LCM(8, 280) = 280

GCD(8, 280) = ( 8 x 280 ) / 280

= 8 / 280

= 8

So, Greatest Common Divisor of 512, 960, 504, 280 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 752, 306, 155
• GCD of 744, 889, 504, 299
• GCD of 316, 293, 289, 900
• GCD of 526, 389, 651, 754
• GCD of 241, 420, 337, 456

Given numbers are 512, 960, 504, 280
The greatest common divisor of numbers 512, 960, 504, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 960, 504, 280 is 8.

1. What is the GCD of 512, 960, 504, 280?

GCD of given numbers 512, 960, 504, 280 is 8

2. How to calculate the greatest common divisor of 512, 960, 504, 280?

We can find the highest common divisor of 512, 960, 504, 280 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 512, 960, 504, 280 i.e 8.

3. How can I use the GCD of 512, 960, 504, 280Calculator?

Out the numbers 512, 960, 504, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.