GCD of 45, 510, 465, 897 Calculator

Given Input numbers are 45, 510, 465, 897

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 45, 510, 465, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 510, 465, 897 is 3.

Therefore, GCD of numbers 45, 510, 465, 897 is 3

Given Input Data is 45, 510, 465, 897

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 510 is 2 x 3 x 5 x 17

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 897 is 3 x 13 x 23

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(45, 510) = 1530

GCD(45, 510) = ( 45 x 510 ) / 1530

GCD(45, 510) = 22950 / 1530

GCD(45, 510) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 465

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

LCM(15, 465) = 465

GCD(15, 465) = ( 15 x 465 ) / 465

GCD(15, 465) = 6975 / 465

GCD(15, 465) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 897

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

LCM(15, 897) = 4485

GCD(15, 897) = ( 15 x 897 ) / 4485

GCD(15, 897) = 13455 / 4485

GCD(15, 897) = 3

GCD of 45, 510, 465, 897 is 3

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• GCD of 86, 225, 746, 907
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• GCD of 63, 883, 572, 952

1. What is the GCD of 45, 510, 465, 897?

GCD of 45, 510, 465, 897 is 3

2. Where do I get the detailed procedure to find GCD of 45, 510, 465, 897?

You can find a detailed procedure to find GCD of 45, 510, 465, 897 on our page.

3. How to find GCD of 45, 510, 465, 897 on a calculator?

You can find the GCD of 45, 510, 465, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.