Greatest Common Factor of 3277/342, 4947/7166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3277/342, 4947/7166

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 3277/342,4947/7166

Given fractions are 3277/342,4947/7166

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 3277,4947

Greatest Common Factor of Numerators i.e. GCF of 3277,4947 is 1 .

LCM of Denominators means LCM of 342,7166 as per the given fractions.

LCM of 342,7166 is 1225386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3277,4947

GCF of Fractions 3277/342,4947/7166 is 1/1225386

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

Greatest Common Factor of 3277,4947 By Matching Biggest Common Factor Method

Greatest Common Factor of 3277,4947 By Matching Biggest Common Factor Method

Factors of 3277

List of positive integer factors of 3277 that divides 3277 without a remainder.

1,29,113,3277

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1,3,17,51,97,291,1649,4947

Greatest Common Factor

We found the factors 3277,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 3277,4947 is 1.

Lets's calculate LCM of 342,7166

2 342, 7166
171, 3583

∴ So the LCM of the given numbers is 2 x 171 x 3583 = 1225386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225386

Therefore, the GCF of Fractions 3277/342,4947/7166 is 1/1225386

Least Common Multiple of 342,7166 with GCF Formula

Least Common Multiple of 342,7166 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 342,7166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,7166) = 2

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

GCF(342,7166) x common factors =2 x 1 = 2

LCM(342,7166) = ( 342 × 7166 ) / 2

LCM(342,7166) = 2450772 / 2

LCM(342,7166) = 1225386


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 3277/342, 4947/7166

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 3277/342, 4947/7166?

Answer: GCF of Numerators as per given numbers 3277/342, 4947/7166 is

GCF of Numerators i.e. for 3277,4947 is 1

LCM of denominators i.e. for 342,7166 is 1225386.

Thus, GCF of Fractions is 1/1225386.Finally, GCF of Fractions for 3277/342, 4947/7166 is 1/1225386.