GCD of 290, 912, 50, 890 Calculator

Given Input numbers are 290, 912, 50, 890

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 290, 912, 50, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 912, 50, 890 is 2.

Therefore, GCD of numbers 290, 912, 50, 890 is 2

Given Input Data is 290, 912, 50, 890

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 890 is 2 x 5 x 89

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(290, 912) = 132240

GCD(290, 912) = ( 290 x 912 ) / 132240

GCD(290, 912) = 264480 / 132240

GCD(290, 912) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 290, 912, 50, 890 is 2

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1. What is the GCD of 290, 912, 50, 890?

GCD of 290, 912, 50, 890 is 2

2. Where do I get the detailed procedure to find GCD of 290, 912, 50, 890?

You can find a detailed procedure to find GCD of 290, 912, 50, 890 on our page.

3. How to find GCD of 290, 912, 50, 890 on a calculator?

You can find the GCD of 290, 912, 50, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.