GCD of 448, 706, 79, 418 Calculator

Given Input numbers are 448, 706, 79, 418

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 448, 706, 79, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 706, 79, 418 is 1.

Therefore, GCD of numbers 448, 706, 79, 418 is 1

Given Input Data is 448, 706, 79, 418

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 706 is 2 x 353

Prime Factorization of 79 is 79

Prime Factorization of 418 is 2 x 11 x 19

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, 706) = 158144

GCD(448, 706) = ( 448 x 706 ) / 158144

GCD(448, 706) = 316288 / 158144

GCD(448, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 448, 706, 79, 418 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 474, 17, 208
• GCD of 352, 393, 74, 895
• GCD of 911, 926, 36, 515
• GCD of 340, 833, 87, 172
• GCD of 106, 457, 16, 666

1. What is the GCD of 448, 706, 79, 418?

GCD of 448, 706, 79, 418 is 1

2. Where do I get the detailed procedure to find GCD of 448, 706, 79, 418?

You can find a detailed procedure to find GCD of 448, 706, 79, 418 on our page.

3. How to find GCD of 448, 706, 79, 418 on a calculator?

You can find the GCD of 448, 706, 79, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.