GCD of 512, 996, 209, 960 Calculator

Given Input numbers are 512, 996, 209, 960

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

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 (512, 996, 209, 960) = 1.

Given numbers are 512, 996, 209, 960

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 996 are 2 x 2 x 3 x 83

Prime factors of 209 are 11 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 512, 996, 209, 960

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

Apply this formula for all numbers.

Step1:

LCM(512, 996) = 127488

GCD(512, 996) = ( 512 x 996 ) / 127488

= 512 / 996

= 512

Step2:

LCM(4, 209) = 836

GCD(4, 209) = ( 4 x 209 ) / 836

= 4 / 209

= 4

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 512, 996, 209, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 827, 252, 800
• GCD of 721, 940, 949, 798
• GCD of 634, 842, 421, 216
• GCD of 408, 216, 284, 393
• GCD of 826, 630, 424, 812

Given numbers are 512, 996, 209, 960
The greatest common divisor of numbers 512, 996, 209, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 996, 209, 960 is 1.

1. What is the GCD of 512, 996, 209, 960?

GCD of given numbers 512, 996, 209, 960 is 1

2. How to calculate the greatest common divisor of 512, 996, 209, 960?

We can find the highest common divisor of 512, 996, 209, 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 512, 996, 209, 960 i.e 1.

3. How can I use the GCD of 512, 996, 209, 960Calculator?

Out the numbers 512, 996, 209, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.