Greatest Common Factor of 810/9814, 211/9438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 810/9814, 211/9438

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 810/9814,211/9438

Given fractions are 810/9814,211/9438

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 810,211

Greatest Common Factor of Numerators i.e. GCF of 810,211 is 1 .

LCM of Denominators means LCM of 9814,9438 as per the given fractions.

LCM of 9814,9438 is 46312266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,211

GCF of Fractions 810/9814,211/9438 is 1/46312266

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 810,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,211 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 810,211 . The biggest common factor number is the GCF number.
So the greatest common factor 810,211 is 1.


Lets's calculate LCM of 9814,9438

2 9814, 9438
4907, 4719

∴ So the LCM of the given numbers is 2 x 4907 x 4719 = 46312266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46312266

Therefore, the GCF of Fractions 810/9814,211/9438 is 1/46312266

Least Common Multiple of 9814,9438 with GCF Formula

Least Common Multiple of 9814,9438 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9814,9438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9814,9438) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(9814,9438) x common factors =2 x 1 = 2

LCM(9814,9438) = ( 9814 × 9438 ) / 2

LCM(9814,9438) = 92624532 / 2

LCM(9814,9438) = 46312266


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 810/9814, 211/9438

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 810/9814, 211/9438?

Answer: GCF of Numerators as per given numbers 810/9814, 211/9438 is

GCF of Numerators i.e. for 810,211 is 1

LCM of denominators i.e. for 9814,9438 is 46312266.

Thus, GCF of Fractions is 1/46312266.Finally, GCF of Fractions for 810/9814, 211/9438 is 1/46312266.