GCD of 994, 686, 852, 544 Calculator

Given Input numbers are 994, 686, 852, 544

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

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 994, 686, 852, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 686, 852, 544 is 2.

Therefore, GCD of numbers 994, 686, 852, 544 is 2

Given Input Data is 994, 686, 852, 544

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(994, 686) = 48706

GCD(994, 686) = ( 994 x 686 ) / 48706

GCD(994, 686) = 681884 / 48706

GCD(994, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 852

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

LCM(14, 852) = 5964

GCD(14, 852) = ( 14 x 852 ) / 5964

GCD(14, 852) = 11928 / 5964

GCD(14, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

GCD of 994, 686, 852, 544 is 2

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1. What is the GCD of 994, 686, 852, 544?

GCD of 994, 686, 852, 544 is 2

2. Where do I get the detailed procedure to find GCD of 994, 686, 852, 544?

You can find a detailed procedure to find GCD of 994, 686, 852, 544 on our page.

3. How to find GCD of 994, 686, 852, 544 on a calculator?

You can find the GCD of 994, 686, 852, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.