GCD of 231, 990, 906, 513 Calculator

Given Input numbers are 231, 990, 906, 513

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (231, 990, 906, 513) = 3.

Given numbers are 231, 990, 906, 513

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 906 are 2 x 3 x 151

Prime factors of 513 are 3 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 231, 990, 906, 513 is 3.

Given numbers are 231, 990, 906, 513

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

Apply this formula for all numbers.

Step1:

LCM(231, 990) = 6930

GCD(231, 990) = ( 231 x 990 ) / 6930

= 231 / 990

= 231

Step2:

LCM(33, 906) = 9966

GCD(33, 906) = ( 33 x 906 ) / 9966

= 33 / 906

= 33

Step3:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

So, Greatest Common Divisor of 231, 990, 906, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 268, 409, 907
• GCD of 765, 224, 502, 165
• GCD of 691, 929, 982, 991
• GCD of 432, 770, 140, 703
• GCD of 672, 104, 425, 578

Given numbers are 231, 990, 906, 513
The greatest common divisor of numbers 231, 990, 906, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 990, 906, 513 is 3.

1. What is the GCD of 231, 990, 906, 513?

GCD of given numbers 231, 990, 906, 513 is 3

2. How to calculate the greatest common divisor of 231, 990, 906, 513?

We can find the highest common divisor of 231, 990, 906, 513 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 231, 990, 906, 513 i.e 3.

3. How can I use the GCD of 231, 990, 906, 513Calculator?

Out the numbers 231, 990, 906, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.