GCD of 189, 789, 207, 261 Calculator

Given Input numbers are 189, 789, 207, 261

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

Divisors of 189 :

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

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 (189, 789, 207, 261) = 3.

Given numbers are 189, 789, 207, 261

The list of prime factors of all numbers are

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

Prime factors of 789 are 3 x 263

Prime factors of 207 are 3 x 3 x 23

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 189, 789, 207, 261 is 3.

Given numbers are 189, 789, 207, 261

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

Apply this formula for all numbers.

Step1:

LCM(189, 789) = 49707

GCD(189, 789) = ( 189 x 789 ) / 49707

= 189 / 789

= 189

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 261) = 261

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

= 3 / 261

= 3

So, Greatest Common Divisor of 189, 789, 207, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 481, 287, 725
• GCD of 555, 894, 933, 768
• GCD of 191, 203, 555, 318
• GCD of 474, 541, 678, 881
• GCD of 681, 523, 632, 933

Given numbers are 189, 789, 207, 261
The greatest common divisor of numbers 189, 789, 207, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 789, 207, 261 is 3.

1. What is the GCD of 189, 789, 207, 261?

GCD of given numbers 189, 789, 207, 261 is 3

2. How to calculate the greatest common divisor of 189, 789, 207, 261?

We can find the highest common divisor of 189, 789, 207, 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 189, 789, 207, 261 i.e 3.

3. How can I use the GCD of 189, 789, 207, 261Calculator?

Out the numbers 189, 789, 207, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.