GCD of 984, 261, 56, 448 Calculator

Given Input numbers are 984, 261, 56, 448

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 984, 261, 56, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 261, 56, 448 is 1.

Therefore, GCD of numbers 984, 261, 56, 448 is 1

Given Input Data is 984, 261, 56, 448

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 261 is 3 x 3 x 29

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 261) = 85608

GCD(984, 261) = ( 984 x 261 ) / 85608

GCD(984, 261) = 256824 / 85608

GCD(984, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 984, 261, 56, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 430, 44, 199
• GCD of 815, 430, 75, 874
• GCD of 382, 644, 20, 950
• GCD of 540, 742, 39, 498
• GCD of 450, 275, 79, 826

1. What is the GCD of 984, 261, 56, 448?

GCD of 984, 261, 56, 448 is 1

2. Where do I get the detailed procedure to find GCD of 984, 261, 56, 448?

You can find a detailed procedure to find GCD of 984, 261, 56, 448 on our page.

3. How to find GCD of 984, 261, 56, 448 on a calculator?

You can find the GCD of 984, 261, 56, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.