Greatest Common Factor of 44/29, 55/39, 781/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/29, 55/39, 781/725

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 44/29,55/39,781/725

Given fractions are 44/29,55/39,781/725

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 44,55,781

Greatest Common Factor of Numerators i.e. GCF of 44,55,781 is 11 .

LCM of Denominators means LCM of 29,39,725 as per the given fractions.

LCM of 29,39,725 is 28275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,55,781

GCF of Fractions 44/29,55/39,781/725 is 11/28275

11 44, 55, 781
4, 5, 71

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 44,55,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,55,781 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 44,55,781 . The biggest common factor number is the GCF number.
So the greatest common factor 44,55,781 is 11.

Lets's calculate LCM of 29,39,725

29 29, 39, 725
1, 39, 25

∴ So the LCM of the given numbers is 29 x 1 x 39 x 25 = 28275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/28275

Therefore, the GCF of Fractions 44/29,55/39,781/725 is 11/28275

Least Common Multiple of 29,39,725 with GCF Formula

Least Common Multiple of 29,39,725 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 29,39,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,39,725) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,39,725) x common factors =1 x 29 = 29

LCM(29,39,725) = ( 29 × 39 × 725 ) / 29

LCM(29,39,725) = 819975 / 29

LCM(29,39,725) = 28275


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 44/29, 55/39, 781/725

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 44/29, 55/39, 781/725?

Answer: GCF of Numerators as per given numbers 44/29, 55/39, 781/725 is

GCF of Numerators i.e. for 44,55,781 is 11

LCM of denominators i.e. for 29,39,725 is 28275.

Thus, GCF of Fractions is 11/28275.Finally, GCF of Fractions for 44/29, 55/39, 781/725 is 11/28275.