GCD of 448, 123, 30, 452 Calculator

Given Input numbers are 448, 123, 30, 452

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 448, 123, 30, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 123, 30, 452 is 1.

Therefore, GCD of numbers 448, 123, 30, 452 is 1

Given Input Data is 448, 123, 30, 452

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 123 is 3 x 41

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 452 is 2 x 2 x 113

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, 123) = 55104

GCD(448, 123) = ( 448 x 123 ) / 55104

GCD(448, 123) = 55104 / 55104

GCD(448, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 448, 123, 30, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 184, 61, 574
• GCD of 819, 321, 98, 920
• GCD of 278, 721, 44, 203
• GCD of 628, 736, 30, 960
• GCD of 588, 286, 87, 382

1. What is the GCD of 448, 123, 30, 452?

GCD of 448, 123, 30, 452 is 1

2. Where do I get the detailed procedure to find GCD of 448, 123, 30, 452?

You can find a detailed procedure to find GCD of 448, 123, 30, 452 on our page.

3. How to find GCD of 448, 123, 30, 452 on a calculator?

You can find the GCD of 448, 123, 30, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.