GCD of 109, 384, 46, 985 Calculator

Given Input numbers are 109, 384, 46, 985

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 109, 384, 46, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 384, 46, 985 is 1.

Therefore, GCD of numbers 109, 384, 46, 985 is 1

Given Input Data is 109, 384, 46, 985

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

Prime Factorization of 109 is 109

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 46 is 2 x 23

Prime Factorization of 985 is 5 x 197

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(109, 384) = 41856

GCD(109, 384) = ( 109 x 384 ) / 41856

GCD(109, 384) = 41856 / 41856

GCD(109, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 109, 384, 46, 985 is 1

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• GCD of 718, 933, 69, 986
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1. What is the GCD of 109, 384, 46, 985?

GCD of 109, 384, 46, 985 is 1

2. Where do I get the detailed procedure to find GCD of 109, 384, 46, 985?

You can find a detailed procedure to find GCD of 109, 384, 46, 985 on our page.

3. How to find GCD of 109, 384, 46, 985 on a calculator?

You can find the GCD of 109, 384, 46, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.