GCD of 45, 900, 297, 495 Calculator

Given Input numbers are 45, 900, 297, 495

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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

Greatest Common Divisior

We found the divisors of 45, 900, 297, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 900, 297, 495 is 9.

Therefore, GCD of numbers 45, 900, 297, 495 is 9

Given Input Data is 45, 900, 297, 495

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(45, 900) = 900

GCD(45, 900) = ( 45 x 900 ) / 900

GCD(45, 900) = 40500 / 900

GCD(45, 900) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 297

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

LCM(45, 297) = 1485

GCD(45, 297) = ( 45 x 297 ) / 1485

GCD(45, 297) = 13365 / 1485

GCD(45, 297) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 495

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

LCM(9, 495) = 495

GCD(9, 495) = ( 9 x 495 ) / 495

GCD(9, 495) = 4455 / 495

GCD(9, 495) = 9

GCD of 45, 900, 297, 495 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 808, 414, 692
• GCD of 56, 754, 587, 549
• GCD of 83, 919, 847, 917
• GCD of 99, 816, 524, 624
• GCD of 58, 835, 153, 288

1. What is the GCD of 45, 900, 297, 495?

GCD of 45, 900, 297, 495 is 9

2. Where do I get the detailed procedure to find GCD of 45, 900, 297, 495?

You can find a detailed procedure to find GCD of 45, 900, 297, 495 on our page.

3. How to find GCD of 45, 900, 297, 495 on a calculator?

You can find the GCD of 45, 900, 297, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.