GCD of 831, 732, 990, 492 Calculator

Given Input numbers are 831, 732, 990, 492

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (831, 732, 990, 492) = 3.

Given numbers are 831, 732, 990, 492

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 831, 732, 990, 492 is 3.

Given numbers are 831, 732, 990, 492

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

Apply this formula for all numbers.

Step1:

LCM(831, 732) = 202764

GCD(831, 732) = ( 831 x 732 ) / 202764

= 831 / 732

= 831

Step2:

LCM(3, 990) = 990

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

= 3 / 990

= 3

Step3:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

So, Greatest Common Divisor of 831, 732, 990, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 508, 593, 949
• GCD of 429, 108, 153, 200
• GCD of 894, 710, 511, 182
• GCD of 367, 223, 714, 281
• GCD of 163, 703, 683, 114

Given numbers are 831, 732, 990, 492
The greatest common divisor of numbers 831, 732, 990, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 732, 990, 492 is 3.

1. What is the GCD of 831, 732, 990, 492?

GCD of given numbers 831, 732, 990, 492 is 3

2. How to calculate the greatest common divisor of 831, 732, 990, 492?

We can find the highest common divisor of 831, 732, 990, 492 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 831, 732, 990, 492 i.e 3.

3. How can I use the GCD of 831, 732, 990, 492Calculator?

Out the numbers 831, 732, 990, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.