GCD of 390, 984, 84, 915 Calculator

Given Input numbers are 390, 984, 84, 915

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 390, 984, 84, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 984, 84, 915 is 3.

Therefore, GCD of numbers 390, 984, 84, 915 is 3

Given Input Data is 390, 984, 84, 915

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 915 is 3 x 5 x 61

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(390, 984) = 63960

GCD(390, 984) = ( 390 x 984 ) / 63960

GCD(390, 984) = 383760 / 63960

GCD(390, 984) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 84

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

LCM(6, 84) = 84

GCD(6, 84) = ( 6 x 84 ) / 84

GCD(6, 84) = 504 / 84

GCD(6, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 915

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

LCM(6, 915) = 1830

GCD(6, 915) = ( 6 x 915 ) / 1830

GCD(6, 915) = 5490 / 1830

GCD(6, 915) = 3

GCD of 390, 984, 84, 915 is 3

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• GCD of 727, 123, 25, 930
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1. What is the GCD of 390, 984, 84, 915?

GCD of 390, 984, 84, 915 is 3

2. Where do I get the detailed procedure to find GCD of 390, 984, 84, 915?

You can find a detailed procedure to find GCD of 390, 984, 84, 915 on our page.

3. How to find GCD of 390, 984, 84, 915 on a calculator?

You can find the GCD of 390, 984, 84, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.