Greatest Common Factor of 9883/310, 6188/3444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9883/310, 6188/3444

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 9883/310,6188/3444

Given fractions are 9883/310,6188/3444

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 9883,6188

Greatest Common Factor of Numerators i.e. GCF of 9883,6188 is 1 .

LCM of Denominators means LCM of 310,3444 as per the given fractions.

LCM of 310,3444 is 533820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9883,6188

GCF of Fractions 9883/310,6188/3444 is 1/533820

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

Greatest Common Factor of 9883,6188 By Matching Biggest Common Factor Method

Greatest Common Factor of 9883,6188 By Matching Biggest Common Factor Method

Factors of 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1,9883

Factors of 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188

Greatest Common Factor

We found the factors 9883,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 9883,6188 is 1.

Lets's calculate LCM of 310,3444

2 310, 3444
155, 1722

∴ So the LCM of the given numbers is 2 x 155 x 1722 = 533820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533820

Therefore, the GCF of Fractions 9883/310,6188/3444 is 1/533820

Least Common Multiple of 310,3444 with GCF Formula

Least Common Multiple of 310,3444 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 310,3444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,3444) = 2

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

GCF(310,3444) x common factors =2 x 1 = 2

LCM(310,3444) = ( 310 × 3444 ) / 2

LCM(310,3444) = 1067640 / 2

LCM(310,3444) = 533820


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 9883/310, 6188/3444

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 9883/310, 6188/3444?

Answer: GCF of Numerators as per given numbers 9883/310, 6188/3444 is

GCF of Numerators i.e. for 9883,6188 is 1

LCM of denominators i.e. for 310,3444 is 533820.

Thus, GCF of Fractions is 1/533820.Finally, GCF of Fractions for 9883/310, 6188/3444 is 1/533820.