GCD of 990, 429, 237, 861 Calculator

Given Input numbers are 990, 429, 237, 861

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (990, 429, 237, 861) = 3.

Given numbers are 990, 429, 237, 861

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 429 are 3 x 11 x 13

Prime factors of 237 are 3 x 79

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 990, 429, 237, 861 is 3.

Given numbers are 990, 429, 237, 861

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

Apply this formula for all numbers.

Step1:

LCM(990, 429) = 12870

GCD(990, 429) = ( 990 x 429 ) / 12870

= 990 / 429

= 990

Step2:

LCM(33, 237) = 2607

GCD(33, 237) = ( 33 x 237 ) / 2607

= 33 / 237

= 33

Step3:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 990, 429, 237, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 646, 728, 678
• GCD of 142, 945, 530, 919
• GCD of 739, 832, 941, 754
• GCD of 315, 641, 805, 673
• GCD of 459, 104, 445, 294

Given numbers are 990, 429, 237, 861
The greatest common divisor of numbers 990, 429, 237, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 429, 237, 861 is 3.

1. What is the GCD of 990, 429, 237, 861?

GCD of given numbers 990, 429, 237, 861 is 3

2. How to calculate the greatest common divisor of 990, 429, 237, 861?

We can find the highest common divisor of 990, 429, 237, 861 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, 429, 237, 861 i.e 3.

3. How can I use the GCD of 990, 429, 237, 861Calculator?

Out the numbers 990, 429, 237, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.