Greatest Common Factor of 1667/258, 3118/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1667/258, 3118/549

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 1667/258,3118/549

Given fractions are 1667/258,3118/549

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 1667,3118

Greatest Common Factor of Numerators i.e. GCF of 1667,3118 is 1 .

LCM of Denominators means LCM of 258,549 as per the given fractions.

LCM of 258,549 is 47214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1667,3118

GCF of Fractions 1667/258,3118/549 is 1/47214

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

Greatest Common Factor of 1667,3118 By Matching Biggest Common Factor Method

Greatest Common Factor of 1667,3118 By Matching Biggest Common Factor Method

Factors of 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1,1667

Factors of 3118

List of positive integer factors of 3118 that divides 3118 without a remainder.

1,2,1559,3118

Greatest Common Factor

We found the factors 1667,3118 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,3118 is 1.

Lets's calculate LCM of 258,549

3 258, 549
86, 183

∴ So the LCM of the given numbers is 3 x 86 x 183 = 47214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47214

Therefore, the GCF of Fractions 1667/258,3118/549 is 1/47214

Least Common Multiple of 258,549 with GCF Formula

Least Common Multiple of 258,549 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 258,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,549) = 3

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

GCF(258,549) x common factors =3 x 1 = 3

LCM(258,549) = ( 258 × 549 ) / 3

LCM(258,549) = 141642 / 3

LCM(258,549) = 47214


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 1667/258, 3118/549

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 1667/258, 3118/549?

Answer: GCF of Numerators as per given numbers 1667/258, 3118/549 is

GCF of Numerators i.e. for 1667,3118 is 1

LCM of denominators i.e. for 258,549 is 47214.

Thus, GCF of Fractions is 1/47214.Finally, GCF of Fractions for 1667/258, 3118/549 is 1/47214.