Greatest Common Factor of 8108/19, 9838/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8108/19, 9838/821

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 8108/19,9838/821

Given fractions are 8108/19,9838/821

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 8108,9838

Greatest Common Factor of Numerators i.e. GCF of 8108,9838 is 2 .

LCM of Denominators means LCM of 19,821 as per the given fractions.

LCM of 19,821 is 15599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8108,9838

GCF of Fractions 8108/19,9838/821 is 2/15599

2 8108, 9838
4054, 4919

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8108,9838 By Matching Biggest Common Factor Method

Greatest Common Factor of 8108,9838 By Matching Biggest Common Factor Method

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1,2,4,2027,4054,8108

Factors of 9838

List of positive integer factors of 9838 that divides 9838 without a remainder.

1,2,4919,9838

Greatest Common Factor

We found the factors 8108,9838 . The biggest common factor number is the GCF number.
So the greatest common factor 8108,9838 is 2.

Lets's calculate LCM of 19,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 15599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15599

Therefore, the GCF of Fractions 8108/19,9838/821 is 2/15599

Least Common Multiple of 19,821 with GCF Formula

Least Common Multiple of 19,821 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 19,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,821) = 1

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

GCF(19,821) x common factors =1 x 1 = 1

LCM(19,821) = ( 19 × 821 ) / 1

LCM(19,821) = 15599 / 1

LCM(19,821) = 15599


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8108/19, 9838/821

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 8108/19, 9838/821?

Answer: GCF of Numerators as per given numbers 8108/19, 9838/821 is

GCF of Numerators i.e. for 8108,9838 is 2

LCM of denominators i.e. for 19,821 is 15599.

Thus, GCF of Fractions is 2/15599.Finally, GCF of Fractions for 8108/19, 9838/821 is 2/15599.