GCD of 908, 946, 990, 838 Calculator

Given Input numbers are 908, 946, 990, 838

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 908, 946, 990, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 946, 990, 838 is 2.

Therefore, GCD of numbers 908, 946, 990, 838 is 2

Given Input Data is 908, 946, 990, 838

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 838 is 2 x 419

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(908, 946) = 429484

GCD(908, 946) = ( 908 x 946 ) / 429484

GCD(908, 946) = 858968 / 429484

GCD(908, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 908, 946, 990, 838 is 2

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1. What is the GCD of 908, 946, 990, 838?

GCD of 908, 946, 990, 838 is 2

2. Where do I get the detailed procedure to find GCD of 908, 946, 990, 838?

You can find a detailed procedure to find GCD of 908, 946, 990, 838 on our page.

3. How to find GCD of 908, 946, 990, 838 on a calculator?

You can find the GCD of 908, 946, 990, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.