GCD of 336, 578, 90, 448 Calculator

Given Input numbers are 336, 578, 90, 448

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 336, 578, 90, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 578, 90, 448 is 2.

Therefore, GCD of numbers 336, 578, 90, 448 is 2

Given Input Data is 336, 578, 90, 448

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(336, 578) = 97104

GCD(336, 578) = ( 336 x 578 ) / 97104

GCD(336, 578) = 194208 / 97104

GCD(336, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 336, 578, 90, 448 is 2

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• GCD of 238, 889, 29, 382
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1. What is the GCD of 336, 578, 90, 448?

GCD of 336, 578, 90, 448 is 2

2. Where do I get the detailed procedure to find GCD of 336, 578, 90, 448?

You can find a detailed procedure to find GCD of 336, 578, 90, 448 on our page.

3. How to find GCD of 336, 578, 90, 448 on a calculator?

You can find the GCD of 336, 578, 90, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.