GCD of 837, 240, 189, 990 Calculator

Given Input numbers are 837, 240, 189, 990

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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

GCD of numbers is the greatest common divisor

So, the GCD (837, 240, 189, 990) = 3.

Given numbers are 837, 240, 189, 990

The list of prime factors of all numbers are

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 189 are 3 x 3 x 3 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 837, 240, 189, 990 is 3.

Given numbers are 837, 240, 189, 990

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

Apply this formula for all numbers.

Step1:

LCM(837, 240) = 66960

GCD(837, 240) = ( 837 x 240 ) / 66960

= 837 / 240

= 837

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 990) = 990

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

= 3 / 990

= 3

So, Greatest Common Divisor of 837, 240, 189, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 368, 329, 551
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Given numbers are 837, 240, 189, 990
The greatest common divisor of numbers 837, 240, 189, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 240, 189, 990 is 3.

1. What is the GCD of 837, 240, 189, 990?

GCD of given numbers 837, 240, 189, 990 is 3

2. How to calculate the greatest common divisor of 837, 240, 189, 990?

We can find the highest common divisor of 837, 240, 189, 990 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 837, 240, 189, 990 i.e 3.

3. How can I use the GCD of 837, 240, 189, 990Calculator?

Out the numbers 837, 240, 189, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.