GCD of 608, 994, 838, 440 Calculator

Given Input numbers are 608, 994, 838, 440

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 608, 994, 838, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 994, 838, 440 is 2.

Therefore, GCD of numbers 608, 994, 838, 440 is 2

Given Input Data is 608, 994, 838, 440

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 838 is 2 x 419

Prime Factorization of 440 is 2 x 2 x 2 x 5 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(608, 994) = 302176

GCD(608, 994) = ( 608 x 994 ) / 302176

GCD(608, 994) = 604352 / 302176

GCD(608, 994) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 608, 994, 838, 440 is 2

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1. What is the GCD of 608, 994, 838, 440?

GCD of 608, 994, 838, 440 is 2

2. Where do I get the detailed procedure to find GCD of 608, 994, 838, 440?

You can find a detailed procedure to find GCD of 608, 994, 838, 440 on our page.

3. How to find GCD of 608, 994, 838, 440 on a calculator?

You can find the GCD of 608, 994, 838, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.