GCD of 495, 105, 783, 927 Calculator

Given Input numbers are 495, 105, 783, 927

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 495, 105, 783, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 105, 783, 927 is 3.

Therefore, GCD of numbers 495, 105, 783, 927 is 3

Given Input Data is 495, 105, 783, 927

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 927 is 3 x 3 x 103

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(495, 105) = 3465

GCD(495, 105) = ( 495 x 105 ) / 3465

GCD(495, 105) = 51975 / 3465

GCD(495, 105) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 783

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

LCM(15, 783) = 3915

GCD(15, 783) = ( 15 x 783 ) / 3915

GCD(15, 783) = 11745 / 3915

GCD(15, 783) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 927

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

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

GCD(3, 927) = 2781 / 927

GCD(3, 927) = 3

GCD of 495, 105, 783, 927 is 3

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1. What is the GCD of 495, 105, 783, 927?

GCD of 495, 105, 783, 927 is 3

2. Where do I get the detailed procedure to find GCD of 495, 105, 783, 927?

You can find a detailed procedure to find GCD of 495, 105, 783, 927 on our page.

3. How to find GCD of 495, 105, 783, 927 on a calculator?

You can find the GCD of 495, 105, 783, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.