GCD of 996, 872, 772, 518 Calculator

Given Input numbers are 996, 872, 772, 518

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

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (996, 872, 772, 518) = 2.

Given numbers are 996, 872, 772, 518

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 772 are 2 x 2 x 193

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 996, 872, 772, 518 is 2.

Given numbers are 996, 872, 772, 518

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

Apply this formula for all numbers.

Step1:

LCM(996, 872) = 217128

GCD(996, 872) = ( 996 x 872 ) / 217128

= 996 / 872

= 996

Step2:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

Step3:

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

= 4 / 518

= 4

So, Greatest Common Divisor of 996, 872, 772, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 771, 370, 721
• GCD of 283, 477, 456, 899
• GCD of 256, 648, 487, 112
• GCD of 471, 863, 107, 967
• GCD of 318, 231, 459, 516

Given numbers are 996, 872, 772, 518
The greatest common divisor of numbers 996, 872, 772, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 872, 772, 518 is 2.

1. What is the GCD of 996, 872, 772, 518?

GCD of given numbers 996, 872, 772, 518 is 2

2. How to calculate the greatest common divisor of 996, 872, 772, 518?

We can find the highest common divisor of 996, 872, 772, 518 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 996, 872, 772, 518 i.e 2.

3. How can I use the GCD of 996, 872, 772, 518Calculator?

Out the numbers 996, 872, 772, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.