Greatest Common Factor of 7739/223, 2993/9763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7739/223, 2993/9763

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 7739/223,2993/9763

Given fractions are 7739/223,2993/9763

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 7739,2993

Greatest Common Factor of Numerators i.e. GCF of 7739,2993 is 1 .

LCM of Denominators means LCM of 223,9763 as per the given fractions.

LCM of 223,9763 is 2177149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7739,2993

GCF of Fractions 7739/223,2993/9763 is 1/2177149

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

Greatest Common Factor of 7739,2993 By Matching Biggest Common Factor Method

Greatest Common Factor of 7739,2993 By Matching Biggest Common Factor Method

Factors of 7739

List of positive integer factors of 7739 that divides 7739 without a remainder.

1,71,109,7739

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1,41,73,2993

Greatest Common Factor

We found the factors 7739,2993 . The biggest common factor number is the GCF number.
So the greatest common factor 7739,2993 is 1.

Lets's calculate LCM of 223,9763

Given numbers has no common factors except 1. So, there LCM is their product i.e 2177149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2177149

Therefore, the GCF of Fractions 7739/223,2993/9763 is 1/2177149

Least Common Multiple of 223,9763 with GCF Formula

Least Common Multiple of 223,9763 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 223,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,9763) = 1

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

GCF(223,9763) x common factors =1 x 1 = 1

LCM(223,9763) = ( 223 × 9763 ) / 1

LCM(223,9763) = 2177149 / 1

LCM(223,9763) = 2177149


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 7739/223, 2993/9763

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 7739/223, 2993/9763?

Answer: GCF of Numerators as per given numbers 7739/223, 2993/9763 is

GCF of Numerators i.e. for 7739,2993 is 1

LCM of denominators i.e. for 223,9763 is 2177149.

Thus, GCF of Fractions is 1/2177149.Finally, GCF of Fractions for 7739/223, 2993/9763 is 1/2177149.