GCD of 864, 984, 87, 408 Calculator

Given Input numbers are 864, 984, 87, 408

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 864, 984, 87, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 984, 87, 408 is 3.

Therefore, GCD of numbers 864, 984, 87, 408 is 3

Given Input Data is 864, 984, 87, 408

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(864, 984) = 35424

GCD(864, 984) = ( 864 x 984 ) / 35424

GCD(864, 984) = 850176 / 35424

GCD(864, 984) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 87

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

LCM(24, 87) = 696

GCD(24, 87) = ( 24 x 87 ) / 696

GCD(24, 87) = 2088 / 696

GCD(24, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 864, 984, 87, 408 is 3

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1. What is the GCD of 864, 984, 87, 408?

GCD of 864, 984, 87, 408 is 3

2. Where do I get the detailed procedure to find GCD of 864, 984, 87, 408?

You can find a detailed procedure to find GCD of 864, 984, 87, 408 on our page.

3. How to find GCD of 864, 984, 87, 408 on a calculator?

You can find the GCD of 864, 984, 87, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.