Greatest Common Factor of 1738/888, 6994/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1738/888, 6994/298

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 1738/888,6994/298

Given fractions are 1738/888,6994/298

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 1738,6994

Greatest Common Factor of Numerators i.e. GCF of 1738,6994 is 2 .

LCM of Denominators means LCM of 888,298 as per the given fractions.

LCM of 888,298 is 132312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1738,6994

GCF of Fractions 1738/888,6994/298 is 2/132312

2 1738, 6994
869, 3497

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

Greatest Common Factor of 1738,6994 By Matching Biggest Common Factor Method

Greatest Common Factor of 1738,6994 By Matching Biggest Common Factor Method

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1,2,13,26,269,538,3497,6994

Greatest Common Factor

We found the factors 1738,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,6994 is 2.

Lets's calculate LCM of 888,298

2 888, 298
444, 149

∴ So the LCM of the given numbers is 2 x 444 x 149 = 132312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132312

Therefore, the GCF of Fractions 1738/888,6994/298 is 2/132312

Least Common Multiple of 888,298 with GCF Formula

Least Common Multiple of 888,298 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 888,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,298) = 2

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

GCF(888,298) x common factors =2 x 1 = 2

LCM(888,298) = ( 888 × 298 ) / 2

LCM(888,298) = 264624 / 2

LCM(888,298) = 132312


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 1738/888, 6994/298

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 1738/888, 6994/298?

Answer: GCF of Numerators as per given numbers 1738/888, 6994/298 is

GCF of Numerators i.e. for 1738,6994 is 2

LCM of denominators i.e. for 888,298 is 132312.

Thus, GCF of Fractions is 2/132312.Finally, GCF of Fractions for 1738/888, 6994/298 is 2/132312.