GCD of 261, 396, 765 Calculator

Given Input numbers are 261, 396, 765

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (261, 396, 765) = 9.

Given numbers are 261, 396, 765

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 3²

Therefore, GCD of 261, 396, 765 is 9.

Given numbers are 261, 396, 765

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

Apply this formula for all numbers.

Step1:

LCM(261, 396) = 11484

GCD(261, 396) = ( 261 x 396 ) / 11484

= 261 / 396

= 261

Step2:

LCM(9, 765) = 765

GCD(9, 765) = ( 9 x 765 ) / 765

= 9 / 765

= 9

So, Greatest Common Divisor of 261, 396, 765 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 268, 469
• GCD of 343, 400, 166
• GCD of 607, 789, 539
• GCD of 335, 911, 137
• GCD of 237, 104, 128

Given numbers are 261, 396, 765
The greatest common divisor of numbers 261, 396, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 396, 765 is 9.

1. What is the GCD of 261, 396, 765?

GCD of given numbers 261, 396, 765 is 9

2. How to calculate the greatest common divisor of 261, 396, 765?

We can find the highest common divisor of 261, 396, 765 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 261, 396, 765 i.e 9.

3. How can I use the GCD of 261, 396, 765Calculator?

Out the numbers 261, 396, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.