GCD of 886, 898, 576, 248 Calculator

Given Input numbers are 886, 898, 576, 248

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 886, 898, 576, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 898, 576, 248 is 2.

Therefore, GCD of numbers 886, 898, 576, 248 is 2

Given Input Data is 886, 898, 576, 248

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

Prime Factorization of 886 is 2 x 443

Prime Factorization of 898 is 2 x 449

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 248 is 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(886, 898) = 397814

GCD(886, 898) = ( 886 x 898 ) / 397814

GCD(886, 898) = 795628 / 397814

GCD(886, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

GCD of 886, 898, 576, 248 is 2

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1. What is the GCD of 886, 898, 576, 248?

GCD of 886, 898, 576, 248 is 2

2. Where do I get the detailed procedure to find GCD of 886, 898, 576, 248?

You can find a detailed procedure to find GCD of 886, 898, 576, 248 on our page.

3. How to find GCD of 886, 898, 576, 248 on a calculator?

You can find the GCD of 886, 898, 576, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.