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GCD of 994, 162, 840, 520 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, 162, 840, 520 quickly. Get the easiest ways to solve the greatest common divisor of 994, 162, 840, 520 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 162, 840, 520 with Factoring?

Given Input numbers are 994, 162, 840, 520

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520


GCD of numbers is the greatest common divisor

So, the GCD (994, 162, 840, 520) = 2.

Find GCD of 994, 162, 840, 520 using Prime Factorization

Given numbers are 994, 162, 840, 520

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 994, 162, 840, 520 is 2.

Steps to Calculate GCD of 994, 162, 840, 520 using LCM Formula

Given numbers are 994, 162, 840, 520

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

Apply this formula for all numbers.

Step1:

LCM(994, 162) = 80514

GCD(994, 162) = ( 994 x 162 ) / 80514

= 994 / 162

= 994


Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2


Step3:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2


So, Greatest Common Divisor of 994, 162, 840, 520 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 162, 840, 520

Given numbers are 994, 162, 840, 520
The greatest common divisor of numbers 994, 162, 840, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 162, 840, 520 is 2.

FAQs on GCD of 994, 162, 840, 520 Calculator

1. What is the GCD of 994, 162, 840, 520?

GCD of given numbers 994, 162, 840, 520 is 2


2. How to calculate the greatest common divisor of 994, 162, 840, 520?

We can find the highest common divisor of 994, 162, 840, 520 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, 162, 840, 520 i.e 2.


3. How can I use the GCD of 994, 162, 840, 520Calculator?

Out the numbers 994, 162, 840, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.