How to Find GCF of 5305/294, 3727/4676?

GCF of 5305/294, 3727/4676

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5305/294, 3727/4676 i.e 1/98196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5305/294, 3727/4676.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5305/294,3727/4676?

Given fractions are 5305/294,3727/4676

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5305/294,3727/4676, numerators are 5305,3727

Denominators are 294,4676

The GCF of 5305,3727 is 1 .

LCM of 294,4676 is 98196.

The greatest common factor of 5305/294,3727/4676 = [GCF of 5305,3727]/[LCM of 294,4676]= 1/98196

Therefore, the GCF of 5305/294,3727/4676 is 1/98196.

Greatest Common Factor of 5305,3727

To find the highest common factor of 5305,3727, we have to find the factors of both numbers and list the highest common factor.

The factors of 5305 are 1, 5, 1061, 5305

The factors of 3727 are 1, 3727

The HCF of 5305,3727 is 1.

Lets's calculate GCF of 5305,3727

Greatest Common Factor (GCF) of 5305,3727 By Common Division

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

Greatest Common Factor of 5305,3727 By Matching Biggest Common Factor Method

Now, list down the factors of 5305

1,5,1061,5305

Now, list down the factors of 3727

1,3727

Greatest Common Factor

We found the factors 5305,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 5305,3727 is 1.

Lets's calculate LCM of 294,4676

Lowest Common Multiple of 294,4676 using Common Division

2	294, 4676
7	147, 2338
	21, 334

∴ So the LCM of the given numbers is 2 x 7 x 21 x 334 = 98196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98196

Therefore, the GCF of Fractions 5305/294,3727/4676 is 1/98196

Least Common Multiple of 294,4676 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 294,4676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,4676) = 14

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

GCF(294,4676) x common factors =14 x 1 = 14

LCM(294,4676) = ( 294 × 4676 ) / 14

LCM(294,4676) = 1374744 / 14

LCM(294,4676) = 98196

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FAQs on GCF of Fractions of 5305/294, 3727/4676

1. What is the HCF of 5305,3727?

The HCF of 5305,3727 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5305/294, 3727/4676?

Answer: GCF of Numerators as per given numbers 5305/294, 3727/4676 is

GCF of Numerators i.e. for 5305,3727 is 1

LCM of denominators i.e. for 294,4676 is 98196.

Thus, GCF of Fractions is 1/98196.Finally, GCF of Fractions for 5305/294, 3727/4676 is 1/98196.