Greatest Common Factor of 7073/94, 1054/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7073/94, 1054/298

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 7073/94,1054/298

Given fractions are 7073/94,1054/298

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 7073,1054

Greatest Common Factor of Numerators i.e. GCF of 7073,1054 is 1 .

LCM of Denominators means LCM of 94,298 as per the given fractions.

LCM of 94,298 is 14006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7073,1054

GCF of Fractions 7073/94,1054/298 is 1/14006

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

Greatest Common Factor of 7073,1054 By Matching Biggest Common Factor Method

Greatest Common Factor of 7073,1054 By Matching Biggest Common Factor Method

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1,11,643,7073

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Greatest Common Factor

We found the factors 7073,1054 . The biggest common factor number is the GCF number.
So the greatest common factor 7073,1054 is 1.

Lets's calculate LCM of 94,298

2 94, 298
47, 149

∴ So the LCM of the given numbers is 2 x 47 x 149 = 14006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14006

Therefore, the GCF of Fractions 7073/94,1054/298 is 1/14006

Least Common Multiple of 94,298 with GCF Formula

Least Common Multiple of 94,298 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 94,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,298) = 2

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

GCF(94,298) x common factors =2 x 1 = 2

LCM(94,298) = ( 94 × 298 ) / 2

LCM(94,298) = 28012 / 2

LCM(94,298) = 14006


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 7073/94, 1054/298

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 7073/94, 1054/298?

Answer: GCF of Numerators as per given numbers 7073/94, 1054/298 is

GCF of Numerators i.e. for 7073,1054 is 1

LCM of denominators i.e. for 94,298 is 14006.

Thus, GCF of Fractions is 1/14006.Finally, GCF of Fractions for 7073/94, 1054/298 is 1/14006.