GCD of 909, 990, 201, 846 Calculator

Given Input numbers are 909, 990, 201, 846

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (909, 990, 201, 846) = 3.

Given numbers are 909, 990, 201, 846

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

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

Prime factors of 201 are 3 x 67

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 909, 990, 201, 846 is 3.

Given numbers are 909, 990, 201, 846

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

Apply this formula for all numbers.

Step1:

LCM(909, 990) = 99990

GCD(909, 990) = ( 909 x 990 ) / 99990

= 909 / 990

= 909

Step2:

LCM(9, 201) = 603

GCD(9, 201) = ( 9 x 201 ) / 603

= 9 / 201

= 9

Step3:

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

= 3 / 846

= 3

So, Greatest Common Divisor of 909, 990, 201, 846 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 434, 294, 470
• GCD of 505, 836, 562, 377
• GCD of 265, 758, 528, 447
• GCD of 888, 776, 801, 811
• GCD of 204, 799, 234, 983

Given numbers are 909, 990, 201, 846
The greatest common divisor of numbers 909, 990, 201, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 990, 201, 846 is 3.

1. What is the GCD of 909, 990, 201, 846?

GCD of given numbers 909, 990, 201, 846 is 3

2. How to calculate the greatest common divisor of 909, 990, 201, 846?

We can find the highest common divisor of 909, 990, 201, 846 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 909, 990, 201, 846 i.e 3.

3. How can I use the GCD of 909, 990, 201, 846Calculator?

Out the numbers 909, 990, 201, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.