GCD of 448, 480, 87, 838 Calculator

Given Input numbers are 448, 480, 87, 838

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 448, 480, 87, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 480, 87, 838 is 1.

Therefore, GCD of numbers 448, 480, 87, 838 is 1

Given Input Data is 448, 480, 87, 838

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 838 is 2 x 419

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, 480) = 6720

GCD(448, 480) = ( 448 x 480 ) / 6720

GCD(448, 480) = 215040 / 6720

GCD(448, 480) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 87

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

LCM(32, 87) = 2784

GCD(32, 87) = ( 32 x 87 ) / 2784

GCD(32, 87) = 2784 / 2784

GCD(32, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 448, 480, 87, 838 is 1

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• GCD of 627, 222, 23, 554
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• GCD of 332, 200, 80, 319
• GCD of 698, 979, 74, 390

1. What is the GCD of 448, 480, 87, 838?

GCD of 448, 480, 87, 838 is 1

2. Where do I get the detailed procedure to find GCD of 448, 480, 87, 838?

You can find a detailed procedure to find GCD of 448, 480, 87, 838 on our page.

3. How to find GCD of 448, 480, 87, 838 on a calculator?

You can find the GCD of 448, 480, 87, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.