Greatest Common Factor of 174/43, 725/84, 305/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/43, 725/84, 305/38

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 174/43,725/84,305/38

Given fractions are 174/43,725/84,305/38

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 174,725,305

Greatest Common Factor of Numerators i.e. GCF of 174,725,305 is 1 .

LCM of Denominators means LCM of 43,84,38 as per the given fractions.

LCM of 43,84,38 is 68628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,725,305

GCF of Fractions 174/43,725/84,305/38 is 1/68628

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

Greatest Common Factor of 174,725,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,725,305 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 174,725,305 . The biggest common factor number is the GCF number.
So the greatest common factor 174,725,305 is 1.

Lets's calculate LCM of 43,84,38

2 43, 84, 38
43, 42, 19

∴ So the LCM of the given numbers is 2 x 43 x 42 x 19 = 68628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68628

Therefore, the GCF of Fractions 174/43,725/84,305/38 is 1/68628

Least Common Multiple of 43,84,38 with GCF Formula

Least Common Multiple of 43,84,38 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 43,84,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,84,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,84,38) x common factors =1 x 2 = 2

LCM(43,84,38) = ( 43 × 84 × 38 ) / 2

LCM(43,84,38) = 137256 / 2

LCM(43,84,38) = 68628


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 174/43, 725/84, 305/38

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 174/43, 725/84, 305/38?

Answer: GCF of Numerators as per given numbers 174/43, 725/84, 305/38 is

GCF of Numerators i.e. for 174,725,305 is 1

LCM of denominators i.e. for 43,84,38 is 68628.

Thus, GCF of Fractions is 1/68628.Finally, GCF of Fractions for 174/43, 725/84, 305/38 is 1/68628.