GCD of 250, 496, 66, 352 Calculator

Given Input numbers are 250, 496, 66, 352

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 250, 496, 66, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 496, 66, 352 is 2.

Therefore, GCD of numbers 250, 496, 66, 352 is 2

Given Input Data is 250, 496, 66, 352

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(250, 496) = 62000

GCD(250, 496) = ( 250 x 496 ) / 62000

GCD(250, 496) = 124000 / 62000

GCD(250, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 250, 496, 66, 352 is 2

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1. What is the GCD of 250, 496, 66, 352?

GCD of 250, 496, 66, 352 is 2

2. Where do I get the detailed procedure to find GCD of 250, 496, 66, 352?

You can find a detailed procedure to find GCD of 250, 496, 66, 352 on our page.

3. How to find GCD of 250, 496, 66, 352 on a calculator?

You can find the GCD of 250, 496, 66, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.