GCD of 996, 819, 291, 768 Calculator

Given Input numbers are 996, 819, 291, 768

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (996, 819, 291, 768) = 3.

Given numbers are 996, 819, 291, 768

The list of prime factors of all numbers are

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

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 291 are 3 x 97

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 996, 819, 291, 768 is 3.

Given numbers are 996, 819, 291, 768

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

Apply this formula for all numbers.

Step1:

LCM(996, 819) = 271908

GCD(996, 819) = ( 996 x 819 ) / 271908

= 996 / 819

= 996

Step2:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

Step3:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

So, Greatest Common Divisor of 996, 819, 291, 768 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 402, 139, 912
• GCD of 223, 778, 269, 448
• GCD of 542, 970, 378, 891
• GCD of 267, 963, 830, 176
• GCD of 861, 826, 647, 815

Given numbers are 996, 819, 291, 768
The greatest common divisor of numbers 996, 819, 291, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 819, 291, 768 is 3.

1. What is the GCD of 996, 819, 291, 768?

GCD of given numbers 996, 819, 291, 768 is 3

2. How to calculate the greatest common divisor of 996, 819, 291, 768?

We can find the highest common divisor of 996, 819, 291, 768 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, 819, 291, 768 i.e 3.

3. How can I use the GCD of 996, 819, 291, 768Calculator?

Out the numbers 996, 819, 291, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.