GCD of 100, 489, 624, 915 Calculator

Given Input numbers are 100, 489, 624, 915

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 489

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

1, 3, 163, 489

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 915

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

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

Greatest Common Divisior

We found the divisors of 100, 489, 624, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 489, 624, 915 is 1.

Therefore, GCD of numbers 100, 489, 624, 915 is 1

Given Input Data is 100, 489, 624, 915

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 915 is 3 x 5 x 61

The above numbers do not have any common prime factor. So GCD is 1

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(100, 489) = 48900

GCD(100, 489) = ( 100 x 489 ) / 48900

GCD(100, 489) = 48900 / 48900

GCD(100, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 100, 489, 624, 915 is 1

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1. What is the GCD of 100, 489, 624, 915?

GCD of 100, 489, 624, 915 is 1

2. Where do I get the detailed procedure to find GCD of 100, 489, 624, 915?

You can find a detailed procedure to find GCD of 100, 489, 624, 915 on our page.

3. How to find GCD of 100, 489, 624, 915 on a calculator?

You can find the GCD of 100, 489, 624, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.