GCD of 448, 350, 523, 896 Calculator

Given Input numbers are 448, 350, 523, 896

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 448, 350, 523, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 350, 523, 896 is 1.

Therefore, GCD of numbers 448, 350, 523, 896 is 1

Given Input Data is 448, 350, 523, 896

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 350 is 2 x 5 x 5 x 7

Prime Factorization of 523 is 523

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 350) = 11200

GCD(448, 350) = ( 448 x 350 ) / 11200

GCD(448, 350) = 156800 / 11200

GCD(448, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 523

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

LCM(14, 523) = 7322

GCD(14, 523) = ( 14 x 523 ) / 7322

GCD(14, 523) = 7322 / 7322

GCD(14, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 448, 350, 523, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 278, 244, 109
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• GCD of 652, 167, 752, 372

1. What is the GCD of 448, 350, 523, 896?

GCD of 448, 350, 523, 896 is 1

2. Where do I get the detailed procedure to find GCD of 448, 350, 523, 896?

You can find a detailed procedure to find GCD of 448, 350, 523, 896 on our page.

3. How to find GCD of 448, 350, 523, 896 on a calculator?

You can find the GCD of 448, 350, 523, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.