Greatest Common Factor of 2278/334, 7204/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2278/334, 7204/727

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 2278/334,7204/727

Given fractions are 2278/334,7204/727

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 2278,7204

Greatest Common Factor of Numerators i.e. GCF of 2278,7204 is 2 .

LCM of Denominators means LCM of 334,727 as per the given fractions.

LCM of 334,727 is 242818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2278,7204

GCF of Fractions 2278/334,7204/727 is 2/242818

2 2278, 7204
1139, 3602

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

Greatest Common Factor of 2278,7204 By Matching Biggest Common Factor Method

Greatest Common Factor of 2278,7204 By Matching Biggest Common Factor Method

Factors of 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1,2,17,34,67,134,1139,2278

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Greatest Common Factor

We found the factors 2278,7204 . The biggest common factor number is the GCF number.
So the greatest common factor 2278,7204 is 2.

Lets's calculate LCM of 334,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 242818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242818

Therefore, the GCF of Fractions 2278/334,7204/727 is 2/242818

Least Common Multiple of 334,727 with GCF Formula

Least Common Multiple of 334,727 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 334,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,727) = 1

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

GCF(334,727) x common factors =1 x 1 = 1

LCM(334,727) = ( 334 × 727 ) / 1

LCM(334,727) = 242818 / 1

LCM(334,727) = 242818


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 2278/334, 7204/727

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 2278/334, 7204/727?

Answer: GCF of Numerators as per given numbers 2278/334, 7204/727 is

GCF of Numerators i.e. for 2278,7204 is 2

LCM of denominators i.e. for 334,727 is 242818.

Thus, GCF of Fractions is 2/242818.Finally, GCF of Fractions for 2278/334, 7204/727 is 2/242818.