Greatest Common Factor of 3344/434, 3167/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3344/434, 3167/298

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 3344/434,3167/298

Given fractions are 3344/434,3167/298

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 3344,3167

Greatest Common Factor of Numerators i.e. GCF of 3344,3167 is 1 .

LCM of Denominators means LCM of 434,298 as per the given fractions.

LCM of 434,298 is 64666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3344,3167

GCF of Fractions 3344/434,3167/298 is 1/64666

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

Greatest Common Factor of 3344,3167 By Matching Biggest Common Factor Method

Greatest Common Factor of 3344,3167 By Matching Biggest Common Factor Method

Factors of 3344

List of positive integer factors of 3344 that divides 3344 without a remainder.

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Factors of 3167

List of positive integer factors of 3167 that divides 3167 without a remainder.

1,3167

Greatest Common Factor

We found the factors 3344,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 3344,3167 is 1.

Lets's calculate LCM of 434,298

2 434, 298
217, 149

∴ So the LCM of the given numbers is 2 x 217 x 149 = 64666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64666

Therefore, the GCF of Fractions 3344/434,3167/298 is 1/64666

Least Common Multiple of 434,298 with GCF Formula

Least Common Multiple of 434,298 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 434,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,298) = 2

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

GCF(434,298) x common factors =2 x 1 = 2

LCM(434,298) = ( 434 × 298 ) / 2

LCM(434,298) = 129332 / 2

LCM(434,298) = 64666


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 3344/434, 3167/298

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 3344/434, 3167/298?

Answer: GCF of Numerators as per given numbers 3344/434, 3167/298 is

GCF of Numerators i.e. for 3344,3167 is 1

LCM of denominators i.e. for 434,298 is 64666.

Thus, GCF of Fractions is 1/64666.Finally, GCF of Fractions for 3344/434, 3167/298 is 1/64666.