Greatest Common Factor of 1135/449, 2744/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1135/449, 2744/305

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 1135/449,2744/305

Given fractions are 1135/449,2744/305

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 1135,2744

Greatest Common Factor of Numerators i.e. GCF of 1135,2744 is 1 .

LCM of Denominators means LCM of 449,305 as per the given fractions.

LCM of 449,305 is 136945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1135,2744

GCF of Fractions 1135/449,2744/305 is 1/136945

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

Greatest Common Factor of 1135,2744 By Matching Biggest Common Factor Method

Greatest Common Factor of 1135,2744 By Matching Biggest Common Factor Method

Factors of 1135

List of positive integer factors of 1135 that divides 1135 without a remainder.

1,5,227,1135

Factors of 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Greatest Common Factor

We found the factors 1135,2744 . The biggest common factor number is the GCF number.
So the greatest common factor 1135,2744 is 1.

Lets's calculate LCM of 449,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 136945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136945

Therefore, the GCF of Fractions 1135/449,2744/305 is 1/136945

Least Common Multiple of 449,305 with GCF Formula

Least Common Multiple of 449,305 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 449,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,305) = 1

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

GCF(449,305) x common factors =1 x 1 = 1

LCM(449,305) = ( 449 × 305 ) / 1

LCM(449,305) = 136945 / 1

LCM(449,305) = 136945


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 1135/449, 2744/305

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 1135/449, 2744/305?

Answer: GCF of Numerators as per given numbers 1135/449, 2744/305 is

GCF of Numerators i.e. for 1135,2744 is 1

LCM of denominators i.e. for 449,305 is 136945.

Thus, GCF of Fractions is 1/136945.Finally, GCF of Fractions for 1135/449, 2744/305 is 1/136945.