GCD of 564, 846, 998, 838 Calculator

Given Input numbers are 564, 846, 998, 838

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

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 564, 846, 998, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 846, 998, 838 is 2.

Therefore, GCD of numbers 564, 846, 998, 838 is 2

Given Input Data is 564, 846, 998, 838

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 998 is 2 x 499

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(564, 846) = 1692

GCD(564, 846) = ( 564 x 846 ) / 1692

GCD(564, 846) = 477144 / 1692

GCD(564, 846) = 282

Step2:

Here we consider the GCD from the above i.e. 282 as first number and the next as 998

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

LCM(282, 998) = 140718

GCD(282, 998) = ( 282 x 998 ) / 140718

GCD(282, 998) = 281436 / 140718

GCD(282, 998) = 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 564, 846, 998, 838 is 2

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1. What is the GCD of 564, 846, 998, 838?

GCD of 564, 846, 998, 838 is 2

2. Where do I get the detailed procedure to find GCD of 564, 846, 998, 838?

You can find a detailed procedure to find GCD of 564, 846, 998, 838 on our page.

3. How to find GCD of 564, 846, 998, 838 on a calculator?

You can find the GCD of 564, 846, 998, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.