GCD of 210, 189, 33, 261 Calculator

Given Input numbers are 210, 189, 33, 261

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 189 :

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

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

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (210, 189, 33, 261) = 3.

Given numbers are 210, 189, 33, 261

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 33 are 3 x 11

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 210, 189, 33, 261 is 3.

Given numbers are 210, 189, 33, 261

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

Apply this formula for all numbers.

Step1:

LCM(210, 189) = 1890

GCD(210, 189) = ( 210 x 189 ) / 1890

= 210 / 189

= 210

Step2:

LCM(21, 33) = 231

GCD(21, 33) = ( 21 x 33 ) / 231

= 21 / 33

= 21

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 210, 189, 33, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 369, 79, 363
• GCD of 720, 559, 53, 224
• GCD of 676, 529, 86, 846
• GCD of 202, 754, 46, 909
• GCD of 328, 805, 15, 246

Given numbers are 210, 189, 33, 261
The greatest common divisor of numbers 210, 189, 33, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 189, 33, 261 is 3.

1. What is the GCD of 210, 189, 33, 261?

GCD of given numbers 210, 189, 33, 261 is 3

2. How to calculate the greatest common divisor of 210, 189, 33, 261?

We can find the highest common divisor of 210, 189, 33, 261 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 210, 189, 33, 261 i.e 3.

3. How can I use the GCD of 210, 189, 33, 261Calculator?

Out the numbers 210, 189, 33, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.