GCD of 915, 489, 450, 747 Calculator

Given Input numbers are 915, 489, 450, 747

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 915, 489, 450, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 489, 450, 747 is 3.

Therefore, GCD of numbers 915, 489, 450, 747 is 3

Given Input Data is 915, 489, 450, 747

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 489 is 3 x 163

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

Prime Factorization of 747 is 3 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(915, 489) = 149145

GCD(915, 489) = ( 915 x 489 ) / 149145

GCD(915, 489) = 447435 / 149145

GCD(915, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 450

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

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

GCD(3, 450) = 1350 / 450

GCD(3, 450) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

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

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

GCD of 915, 489, 450, 747 is 3

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1. What is the GCD of 915, 489, 450, 747?

GCD of 915, 489, 450, 747 is 3

2. Where do I get the detailed procedure to find GCD of 915, 489, 450, 747?

You can find a detailed procedure to find GCD of 915, 489, 450, 747 on our page.

3. How to find GCD of 915, 489, 450, 747 on a calculator?

You can find the GCD of 915, 489, 450, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.