GCD of 321, 771, 882, 996 Calculator

Given Input numbers are 321, 771, 882, 996

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

GCD of numbers is the greatest common divisor

So, the GCD (321, 771, 882, 996) = 3.

Given numbers are 321, 771, 882, 996

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 771 are 3 x 257

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 321, 771, 882, 996 is 3.

Given numbers are 321, 771, 882, 996

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

Apply this formula for all numbers.

Step1:

LCM(321, 771) = 82497

GCD(321, 771) = ( 321 x 771 ) / 82497

= 321 / 771

= 321

Step2:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 321, 771, 882, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 731, 562, 524
• GCD of 782, 538, 452, 427
• GCD of 760, 257, 649, 513
• GCD of 498, 972, 344, 183
• GCD of 735, 143, 221, 395

Given numbers are 321, 771, 882, 996
The greatest common divisor of numbers 321, 771, 882, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 771, 882, 996 is 3.

1. What is the GCD of 321, 771, 882, 996?

GCD of given numbers 321, 771, 882, 996 is 3

2. How to calculate the greatest common divisor of 321, 771, 882, 996?

We can find the highest common divisor of 321, 771, 882, 996 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 321, 771, 882, 996 i.e 3.

3. How can I use the GCD of 321, 771, 882, 996Calculator?

Out the numbers 321, 771, 882, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.