GCD of 844, 524, 72, 834 Calculator

Given Input numbers are 844, 524, 72, 834

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 844, 524, 72, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 524, 72, 834 is 2.

Therefore, GCD of numbers 844, 524, 72, 834 is 2

Given Input Data is 844, 524, 72, 834

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 834 is 2 x 3 x 139

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(844, 524) = 110564

GCD(844, 524) = ( 844 x 524 ) / 110564

GCD(844, 524) = 442256 / 110564

GCD(844, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 834

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

LCM(4, 834) = 1668

GCD(4, 834) = ( 4 x 834 ) / 1668

GCD(4, 834) = 3336 / 1668

GCD(4, 834) = 2

GCD of 844, 524, 72, 834 is 2

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1. What is the GCD of 844, 524, 72, 834?

GCD of 844, 524, 72, 834 is 2

2. Where do I get the detailed procedure to find GCD of 844, 524, 72, 834?

You can find a detailed procedure to find GCD of 844, 524, 72, 834 on our page.

3. How to find GCD of 844, 524, 72, 834 on a calculator?

You can find the GCD of 844, 524, 72, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.