GCD of 561, 291, 765 Calculator

Given Input numbers are 561, 291, 765

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

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 (561, 291, 765) = 3.

Given numbers are 561, 291, 765

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 291 are 3 x 97

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

The highest common occurrence is 3¹

Therefore, GCD of 561, 291, 765 is 3.

Given numbers are 561, 291, 765

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

Apply this formula for all numbers.

Step1:

LCM(561, 291) = 54417

GCD(561, 291) = ( 561 x 291 ) / 54417

= 561 / 291

= 561

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

So, Greatest Common Divisor of 561, 291, 765 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 540, 289
• GCD of 217, 495, 450
• GCD of 349, 999, 540
• GCD of 728, 894, 395
• GCD of 568, 604, 928

Given numbers are 561, 291, 765
The greatest common divisor of numbers 561, 291, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 291, 765 is 3.

1. What is the GCD of 561, 291, 765?

GCD of given numbers 561, 291, 765 is 3

2. How to calculate the greatest common divisor of 561, 291, 765?

We can find the highest common divisor of 561, 291, 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 561, 291, 765 i.e 3.

3. How can I use the GCD of 561, 291, 765Calculator?

Out the numbers 561, 291, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.