GCD of 861, 327, 990, 630 Calculator

Given Input numbers are 861, 327, 990, 630

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (861, 327, 990, 630) = 3.

Given numbers are 861, 327, 990, 630

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 327 are 3 x 109

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 861, 327, 990, 630 is 3.

Given numbers are 861, 327, 990, 630

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

Apply this formula for all numbers.

Step1:

LCM(861, 327) = 93849

GCD(861, 327) = ( 861 x 327 ) / 93849

= 861 / 327

= 861

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

= 3 / 630

= 3

So, Greatest Common Divisor of 861, 327, 990, 630 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 443, 757, 122
• GCD of 220, 557, 454, 200
• GCD of 333, 616, 306, 344
• GCD of 960, 904, 548, 746
• GCD of 422, 195, 470, 257

Given numbers are 861, 327, 990, 630
The greatest common divisor of numbers 861, 327, 990, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 327, 990, 630 is 3.

1. What is the GCD of 861, 327, 990, 630?

GCD of given numbers 861, 327, 990, 630 is 3

2. How to calculate the greatest common divisor of 861, 327, 990, 630?

We can find the highest common divisor of 861, 327, 990, 630 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 861, 327, 990, 630 i.e 3.

3. How can I use the GCD of 861, 327, 990, 630Calculator?

Out the numbers 861, 327, 990, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.