GCD of 495, 150, 110, 865 Calculator

Given Input numbers are 495, 150, 110, 865

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 495, 150, 110, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 150, 110, 865 is 5.

Therefore, GCD of numbers 495, 150, 110, 865 is 5

Given Input Data is 495, 150, 110, 865

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 865 is 5 x 173

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 150) = 4950

GCD(495, 150) = ( 495 x 150 ) / 4950

GCD(495, 150) = 74250 / 4950

GCD(495, 150) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 110

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

LCM(15, 110) = 330

GCD(15, 110) = ( 15 x 110 ) / 330

GCD(15, 110) = 1650 / 330

GCD(15, 110) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 865

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

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

GCD(5, 865) = 4325 / 865

GCD(5, 865) = 5

GCD of 495, 150, 110, 865 is 5

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1. What is the GCD of 495, 150, 110, 865?

GCD of 495, 150, 110, 865 is 5

2. Where do I get the detailed procedure to find GCD of 495, 150, 110, 865?

You can find a detailed procedure to find GCD of 495, 150, 110, 865 on our page.

3. How to find GCD of 495, 150, 110, 865 on a calculator?

You can find the GCD of 495, 150, 110, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.