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GCD of 494, 998, 620, 890 Calculator

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


Online GCD Calculator is useful to find the GCD of 494, 998, 620, 890 quickly. Get the easiest ways to solve the greatest common divisor of 494, 998, 620, 890 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 494, 998, 620, 890 with Factoring?

Given Input numbers are 494, 998, 620, 890

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890


GCD of numbers is the greatest common divisor

So, the GCD (494, 998, 620, 890) = 2.

Find GCD of 494, 998, 620, 890 using Prime Factorization

Given numbers are 494, 998, 620, 890

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 998 are 2 x 499

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 21

Therefore, GCD of 494, 998, 620, 890 is 2.

Steps to Calculate GCD of 494, 998, 620, 890 using LCM Formula

Given numbers are 494, 998, 620, 890

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

Apply this formula for all numbers.

Step1:

LCM(494, 998) = 246506

GCD(494, 998) = ( 494 x 998 ) / 246506

= 494 / 998

= 494


Step2:

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

= 2 / 620

= 2


Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2


So, Greatest Common Divisor of 494, 998, 620, 890 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 494, 998, 620, 890

Given numbers are 494, 998, 620, 890
The greatest common divisor of numbers 494, 998, 620, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 998, 620, 890 is 2.

FAQs on GCD of 494, 998, 620, 890 Calculator

1. What is the GCD of 494, 998, 620, 890?

GCD of given numbers 494, 998, 620, 890 is 2


2. How to calculate the greatest common divisor of 494, 998, 620, 890?

We can find the highest common divisor of 494, 998, 620, 890 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 494, 998, 620, 890 i.e 2.


3. How can I use the GCD of 494, 998, 620, 890Calculator?

Out the numbers 494, 998, 620, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.