Greatest Common Factor of 9986/838, 3438/7931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9986/838, 3438/7931

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 9986/838,3438/7931

Given fractions are 9986/838,3438/7931

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 9986,3438

Greatest Common Factor of Numerators i.e. GCF of 9986,3438 is 2 .

LCM of Denominators means LCM of 838,7931 as per the given fractions.

LCM of 838,7931 is 6646178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9986,3438

GCF of Fractions 9986/838,3438/7931 is 2/6646178

2 9986, 3438
4993, 1719

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

Greatest Common Factor of 9986,3438 By Matching Biggest Common Factor Method

Greatest Common Factor of 9986,3438 By Matching Biggest Common Factor Method

Factors of 9986

List of positive integer factors of 9986 that divides 9986 without a remainder.

1,2,4993,9986

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Greatest Common Factor

We found the factors 9986,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,3438 is 2.

Lets's calculate LCM of 838,7931

Given numbers has no common factors except 1. So, there LCM is their product i.e 6646178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6646178

Therefore, the GCF of Fractions 9986/838,3438/7931 is 2/6646178

Least Common Multiple of 838,7931 with GCF Formula

Least Common Multiple of 838,7931 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 838,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,7931) = 1

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

GCF(838,7931) x common factors =1 x 1 = 1

LCM(838,7931) = ( 838 × 7931 ) / 1

LCM(838,7931) = 6646178 / 1

LCM(838,7931) = 6646178


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 9986/838, 3438/7931

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 9986/838, 3438/7931?

Answer: GCF of Numerators as per given numbers 9986/838, 3438/7931 is

GCF of Numerators i.e. for 9986,3438 is 2

LCM of denominators i.e. for 838,7931 is 6646178.

Thus, GCF of Fractions is 2/6646178.Finally, GCF of Fractions for 9986/838, 3438/7931 is 2/6646178.