GCD of 19, 448, 117, 158 Calculator

Given Input numbers are 19, 448, 117, 158

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 19, 448, 117, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 448, 117, 158 is 1.

Therefore, GCD of numbers 19, 448, 117, 158 is 1

Given Input Data is 19, 448, 117, 158

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

Prime Factorization of 19 is 19

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 158 is 2 x 79

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(19, 448) = 8512

GCD(19, 448) = ( 19 x 448 ) / 8512

GCD(19, 448) = 8512 / 8512

GCD(19, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 19, 448, 117, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 628, 957, 823
• GCD of 50, 883, 954, 360
• GCD of 53, 825, 909, 800
• GCD of 91, 180, 192, 507
• GCD of 32, 481, 308, 138

1. What is the GCD of 19, 448, 117, 158?

GCD of 19, 448, 117, 158 is 1

2. Where do I get the detailed procedure to find GCD of 19, 448, 117, 158?

You can find a detailed procedure to find GCD of 19, 448, 117, 158 on our page.

3. How to find GCD of 19, 448, 117, 158 on a calculator?

You can find the GCD of 19, 448, 117, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.