GCD of 915, 625, 18, 984 Calculator

Given Input numbers are 915, 625, 18, 984

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 915, 625, 18, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 625, 18, 984 is 1.

Therefore, GCD of numbers 915, 625, 18, 984 is 1

Given Input Data is 915, 625, 18, 984

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 625 is 5 x 5 x 5 x 5

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(915, 625) = 114375

GCD(915, 625) = ( 915 x 625 ) / 114375

GCD(915, 625) = 571875 / 114375

GCD(915, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 18

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

LCM(5, 18) = 90

GCD(5, 18) = ( 5 x 18 ) / 90

GCD(5, 18) = 90 / 90

GCD(5, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 915, 625, 18, 984 is 1

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• GCD of 433, 289, 63, 398
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1. What is the GCD of 915, 625, 18, 984?

GCD of 915, 625, 18, 984 is 1

2. Where do I get the detailed procedure to find GCD of 915, 625, 18, 984?

You can find a detailed procedure to find GCD of 915, 625, 18, 984 on our page.

3. How to find GCD of 915, 625, 18, 984 on a calculator?

You can find the GCD of 915, 625, 18, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.