GCD of 448, 221, 35, 484 Calculator

Given Input numbers are 448, 221, 35, 484

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

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 448, 221, 35, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 221, 35, 484 is 1.

Therefore, GCD of numbers 448, 221, 35, 484 is 1

Given Input Data is 448, 221, 35, 484

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

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(448, 221) = 99008

GCD(448, 221) = ( 448 x 221 ) / 99008

GCD(448, 221) = 99008 / 99008

GCD(448, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 448, 221, 35, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 662, 61, 501
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• GCD of 999, 779, 95, 930
• GCD of 948, 323, 10, 116
• GCD of 778, 103, 42, 345

1. What is the GCD of 448, 221, 35, 484?

GCD of 448, 221, 35, 484 is 1

2. Where do I get the detailed procedure to find GCD of 448, 221, 35, 484?

You can find a detailed procedure to find GCD of 448, 221, 35, 484 on our page.

3. How to find GCD of 448, 221, 35, 484 on a calculator?

You can find the GCD of 448, 221, 35, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.