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GCD of 994, 836, 588, 682 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 994, 836, 588, 682 quickly. Get the easiest ways to solve the greatest common divisor of 994, 836, 588, 682 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 836, 588, 682 with Factoring?

Given Input numbers are 994, 836, 588, 682

In the factoring method, we have to find the divisors of all numbers

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

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

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (994, 836, 588, 682) = 2.

Find GCD of 994, 836, 588, 682 using Prime Factorization

Given numbers are 994, 836, 588, 682

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 21

Therefore, GCD of 994, 836, 588, 682 is 2.

Steps to Calculate GCD of 994, 836, 588, 682 using LCM Formula

Given numbers are 994, 836, 588, 682

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(994, 836) = 415492

GCD(994, 836) = ( 994 x 836 ) / 415492

= 994 / 836

= 994


Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2


Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2


So, Greatest Common Divisor of 994, 836, 588, 682 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 836, 588, 682

Given numbers are 994, 836, 588, 682
The greatest common divisor of numbers 994, 836, 588, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 836, 588, 682 is 2.

FAQs on GCD of 994, 836, 588, 682 Calculator

1. What is the GCD of 994, 836, 588, 682?

GCD of given numbers 994, 836, 588, 682 is 2


2. How to calculate the greatest common divisor of 994, 836, 588, 682?

We can find the highest common divisor of 994, 836, 588, 682 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 994, 836, 588, 682 i.e 2.


3. How can I use the GCD of 994, 836, 588, 682Calculator?

Out the numbers 994, 836, 588, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.