GCD of 990, 231, 870, 222 Calculator

Given Input numbers are 990, 231, 870, 222

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 231 :

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

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (990, 231, 870, 222) = 3.

Given numbers are 990, 231, 870, 222

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 231 are 3 x 7 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 990, 231, 870, 222 is 3.

Given numbers are 990, 231, 870, 222

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

Apply this formula for all numbers.

Step1:

LCM(990, 231) = 6930

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

= 990 / 231

= 990

Step2:

LCM(33, 870) = 9570

GCD(33, 870) = ( 33 x 870 ) / 9570

= 33 / 870

= 33

Step3:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

So, Greatest Common Divisor of 990, 231, 870, 222 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 535, 666, 758
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Given numbers are 990, 231, 870, 222
The greatest common divisor of numbers 990, 231, 870, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 231, 870, 222 is 3.

1. What is the GCD of 990, 231, 870, 222?

GCD of given numbers 990, 231, 870, 222 is 3

2. How to calculate the greatest common divisor of 990, 231, 870, 222?

We can find the highest common divisor of 990, 231, 870, 222 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, 231, 870, 222 i.e 3.

3. How can I use the GCD of 990, 231, 870, 222Calculator?

Out the numbers 990, 231, 870, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.