GCD of 996, 519, 717, 627 Calculator

Given Input numbers are 996, 519, 717, 627

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 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

GCD of numbers is the greatest common divisor

So, the GCD (996, 519, 717, 627) = 3.

Given numbers are 996, 519, 717, 627

The list of prime factors of all numbers are

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

Prime factors of 519 are 3 x 173

Prime factors of 717 are 3 x 239

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 3¹

Therefore, GCD of 996, 519, 717, 627 is 3.

Given numbers are 996, 519, 717, 627

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

Apply this formula for all numbers.

Step1:

LCM(996, 519) = 172308

GCD(996, 519) = ( 996 x 519 ) / 172308

= 996 / 519

= 996

Step2:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

Step3:

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

= 3 / 627

= 3

So, Greatest Common Divisor of 996, 519, 717, 627 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 560, 637, 807
• GCD of 804, 657, 163, 906
• GCD of 587, 611, 149, 511
• GCD of 328, 440, 174, 467
• GCD of 431, 803, 245, 347

Given numbers are 996, 519, 717, 627
The greatest common divisor of numbers 996, 519, 717, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 519, 717, 627 is 3.

1. What is the GCD of 996, 519, 717, 627?

GCD of given numbers 996, 519, 717, 627 is 3

2. How to calculate the greatest common divisor of 996, 519, 717, 627?

We can find the highest common divisor of 996, 519, 717, 627 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, 519, 717, 627 i.e 3.

3. How can I use the GCD of 996, 519, 717, 627Calculator?

Out the numbers 996, 519, 717, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.