GCD of 984, 855, 387, 435 Calculator

Given Input numbers are 984, 855, 387, 435

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

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 984, 855, 387, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 855, 387, 435 is 3.

Therefore, GCD of numbers 984, 855, 387, 435 is 3

Given Input Data is 984, 855, 387, 435

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

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 435 is 3 x 5 x 29

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(984, 855) = 280440

GCD(984, 855) = ( 984 x 855 ) / 280440

GCD(984, 855) = 841320 / 280440

GCD(984, 855) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

GCD of 984, 855, 387, 435 is 3

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1. What is the GCD of 984, 855, 387, 435?

GCD of 984, 855, 387, 435 is 3

2. Where do I get the detailed procedure to find GCD of 984, 855, 387, 435?

You can find a detailed procedure to find GCD of 984, 855, 387, 435 on our page.

3. How to find GCD of 984, 855, 387, 435 on a calculator?

You can find the GCD of 984, 855, 387, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.