GCD of 448, 142, 619 Calculator

Given Input numbers are 448, 142, 619

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 448, 142, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 142, 619 is 1.

Therefore, GCD of numbers 448, 142, 619 is 1

Given Input Data is 448, 142, 619

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 142 is 2 x 71

Prime Factorization of 619 is 619

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, 142) = 31808

GCD(448, 142) = ( 448 x 142 ) / 31808

GCD(448, 142) = 63616 / 31808

GCD(448, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 619

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

LCM(2, 619) = 1238

GCD(2, 619) = ( 2 x 619 ) / 1238

GCD(2, 619) = 1238 / 1238

GCD(2, 619) = 1

GCD of 448, 142, 619 is 1

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1. What is the GCD of 448, 142, 619?

GCD of 448, 142, 619 is 1

2. Where do I get the detailed procedure to find GCD of 448, 142, 619?

You can find a detailed procedure to find GCD of 448, 142, 619 on our page.

3. How to find GCD of 448, 142, 619 on a calculator?

You can find the GCD of 448, 142, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.