GCD of 561, 792, 495 Calculator

Given Input numbers are 561, 792, 495

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (561, 792, 495) = 33.

Given numbers are 561, 792, 495

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 495 are 3 x 3 x 5 x 11

The highest common occurrence is 11¹ x 3¹

Therefore, GCD of 561, 792, 495 is 33.

Given numbers are 561, 792, 495

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

Apply this formula for all numbers.

Step1:

LCM(561, 792) = 13464

GCD(561, 792) = ( 561 x 792 ) / 13464

= 561 / 792

= 561

Step2:

LCM(33, 495) = 495

GCD(33, 495) = ( 33 x 495 ) / 495

= 33 / 495

= 33

So, Greatest Common Divisor of 561, 792, 495 is 33

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 249, 921
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• GCD of 649, 451, 757
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Given numbers are 561, 792, 495
The greatest common divisor of numbers 561, 792, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 792, 495 is 33.

1. What is the GCD of 561, 792, 495?

GCD of given numbers 561, 792, 495 is 33

2. How to calculate the greatest common divisor of 561, 792, 495?

We can find the highest common divisor of 561, 792, 495 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, 792, 495 i.e 33.

3. How can I use the GCD of 561, 792, 495Calculator?

Out the numbers 561, 792, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.