GCD of 984, 544, 45, 279 Calculator

Given Input numbers are 984, 544, 45, 279

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 984, 544, 45, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 544, 45, 279 is 1.

Therefore, GCD of numbers 984, 544, 45, 279 is 1

Given Input Data is 984, 544, 45, 279

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 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 279 is 3 x 3 x 31

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(984, 544) = 66912

GCD(984, 544) = ( 984 x 544 ) / 66912

GCD(984, 544) = 535296 / 66912

GCD(984, 544) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 45

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

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

GCD(8, 45) = 360 / 360

GCD(8, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 984, 544, 45, 279 is 1

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• GCD of 210, 123, 61, 796
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1. What is the GCD of 984, 544, 45, 279?

GCD of 984, 544, 45, 279 is 1

2. Where do I get the detailed procedure to find GCD of 984, 544, 45, 279?

You can find a detailed procedure to find GCD of 984, 544, 45, 279 on our page.

3. How to find GCD of 984, 544, 45, 279 on a calculator?

You can find the GCD of 984, 544, 45, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.