GCD of 448, 784, 379, 222 Calculator

Given Input numbers are 448, 784, 379, 222

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 448, 784, 379, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 784, 379, 222 is 1.

Therefore, GCD of numbers 448, 784, 379, 222 is 1

Given Input Data is 448, 784, 379, 222

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 379 is 379

Prime Factorization of 222 is 2 x 3 x 37

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, 784) = 3136

GCD(448, 784) = ( 448 x 784 ) / 3136

GCD(448, 784) = 351232 / 3136

GCD(448, 784) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 379

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

LCM(112, 379) = 42448

GCD(112, 379) = ( 112 x 379 ) / 42448

GCD(112, 379) = 42448 / 42448

GCD(112, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 448, 784, 379, 222 is 1

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1. What is the GCD of 448, 784, 379, 222?

GCD of 448, 784, 379, 222 is 1

2. Where do I get the detailed procedure to find GCD of 448, 784, 379, 222?

You can find a detailed procedure to find GCD of 448, 784, 379, 222 on our page.

3. How to find GCD of 448, 784, 379, 222 on a calculator?

You can find the GCD of 448, 784, 379, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.