GCD of 450, 885, 267, 996 Calculator

Given Input numbers are 450, 885, 267, 996

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 450, 885, 267, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 885, 267, 996 is 3.

Therefore, GCD of numbers 450, 885, 267, 996 is 3

Given Input Data is 450, 885, 267, 996

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 267 is 3 x 89

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(450, 885) = 26550

GCD(450, 885) = ( 450 x 885 ) / 26550

GCD(450, 885) = 398250 / 26550

GCD(450, 885) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 267

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

LCM(15, 267) = 1335

GCD(15, 267) = ( 15 x 267 ) / 1335

GCD(15, 267) = 4005 / 1335

GCD(15, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

GCD of 450, 885, 267, 996 is 3

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1. What is the GCD of 450, 885, 267, 996?

GCD of 450, 885, 267, 996 is 3

2. Where do I get the detailed procedure to find GCD of 450, 885, 267, 996?

You can find a detailed procedure to find GCD of 450, 885, 267, 996 on our page.

3. How to find GCD of 450, 885, 267, 996 on a calculator?

You can find the GCD of 450, 885, 267, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.