Greatest Common Factor of 2176/98, 8303/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2176/98, 8303/220

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 2176/98,8303/220

Given fractions are 2176/98,8303/220

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 2176,8303

Greatest Common Factor of Numerators i.e. GCF of 2176,8303 is 1 .

LCM of Denominators means LCM of 98,220 as per the given fractions.

LCM of 98,220 is 10780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2176,8303

GCF of Fractions 2176/98,8303/220 is 1/10780

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

Greatest Common Factor of 2176,8303 By Matching Biggest Common Factor Method

Greatest Common Factor of 2176,8303 By Matching Biggest Common Factor Method

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1,19,23,361,437,8303

Greatest Common Factor

We found the factors 2176,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,8303 is 1.

Lets's calculate LCM of 98,220

2 98, 220
49, 110

∴ So the LCM of the given numbers is 2 x 49 x 110 = 10780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10780

Therefore, the GCF of Fractions 2176/98,8303/220 is 1/10780

Least Common Multiple of 98,220 with GCF Formula

Least Common Multiple of 98,220 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 98,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,220) = 2

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

GCF(98,220) x common factors =2 x 1 = 2

LCM(98,220) = ( 98 × 220 ) / 2

LCM(98,220) = 21560 / 2

LCM(98,220) = 10780


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 2176/98, 8303/220

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 2176/98, 8303/220?

Answer: GCF of Numerators as per given numbers 2176/98, 8303/220 is

GCF of Numerators i.e. for 2176,8303 is 1

LCM of denominators i.e. for 98,220 is 10780.

Thus, GCF of Fractions is 1/10780.Finally, GCF of Fractions for 2176/98, 8303/220 is 1/10780.