GCD of 990, 147, 333, 876 Calculator

Given Input numbers are 990, 147, 333, 876

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (990, 147, 333, 876) = 3.

Given numbers are 990, 147, 333, 876

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 333 are 3 x 3 x 37

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 990, 147, 333, 876 is 3.

Given numbers are 990, 147, 333, 876

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

Apply this formula for all numbers.

Step1:

LCM(990, 147) = 48510

GCD(990, 147) = ( 990 x 147 ) / 48510

= 990 / 147

= 990

Step2:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

Step3:

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

= 3 / 876

= 3

So, Greatest Common Divisor of 990, 147, 333, 876 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 681, 459, 446
• GCD of 849, 859, 637, 418
• GCD of 810, 926, 461, 494
• GCD of 654, 938, 617, 647
• GCD of 668, 403, 599, 825

Given numbers are 990, 147, 333, 876
The greatest common divisor of numbers 990, 147, 333, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 147, 333, 876 is 3.

1. What is the GCD of 990, 147, 333, 876?

GCD of given numbers 990, 147, 333, 876 is 3

2. How to calculate the greatest common divisor of 990, 147, 333, 876?

We can find the highest common divisor of 990, 147, 333, 876 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 990, 147, 333, 876 i.e 3.

3. How can I use the GCD of 990, 147, 333, 876Calculator?

Out the numbers 990, 147, 333, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.