GCD of 990, 831, 872, 714 Calculator

Given Input numbers are 990, 831, 872, 714

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 831 :

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

1, 3, 277, 831

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (990, 831, 872, 714) = 1.

Given numbers are 990, 831, 872, 714

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 831 are 3 x 277

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 714 are 2 x 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 990, 831, 872, 714

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

Apply this formula for all numbers.

Step1:

LCM(990, 831) = 274230

GCD(990, 831) = ( 990 x 831 ) / 274230

= 990 / 831

= 990

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 990, 831, 872, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 504, 441, 866
• GCD of 282, 351, 680, 906
• GCD of 458, 382, 320, 436
• GCD of 359, 864, 955, 384
• GCD of 744, 640, 286, 234

Given numbers are 990, 831, 872, 714
The greatest common divisor of numbers 990, 831, 872, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 831, 872, 714 is 1.

1. What is the GCD of 990, 831, 872, 714?

GCD of given numbers 990, 831, 872, 714 is 1

2. How to calculate the greatest common divisor of 990, 831, 872, 714?

We can find the highest common divisor of 990, 831, 872, 714 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, 831, 872, 714 i.e 1.

3. How can I use the GCD of 990, 831, 872, 714Calculator?

Out the numbers 990, 831, 872, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.