How to Find GCF of 5710/372, 9729/1301?

GCF of 5710/372, 9729/1301

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 5710/372, 9729/1301 i.e 1/483972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5710/372, 9729/1301.

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 5710/372,9729/1301?

Given fractions are 5710/372,9729/1301

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 5710/372,9729/1301, numerators are 5710,9729

Denominators are 372,1301

The GCF of 5710,9729 is 1 .

LCM of 372,1301 is 483972.

The greatest common factor of 5710/372,9729/1301 = [GCF of 5710,9729]/[LCM of 372,1301]= 1/483972

Therefore, the GCF of 5710/372,9729/1301 is 1/483972.

Greatest Common Factor of 5710,9729

To find the highest common factor of 5710,9729, we have to find the factors of both numbers and list the highest common factor.

The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710

The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729

The HCF of 5710,9729 is 1.

Lets's calculate GCF of 5710,9729

Greatest Common Factor (GCF) of 5710,9729 By Common Division

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

Greatest Common Factor of 5710,9729 By Matching Biggest Common Factor Method

Now, list down the factors of 5710

1,2,5,10,571,1142,2855,5710

Now, list down the factors of 9729

1,3,9,23,47,69,141,207,423,1081,3243,9729

Greatest Common Factor

We found the factors 5710,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 5710,9729 is 1.

Lets's calculate LCM of 372,1301

Lowest Common Multiple of 372,1301 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 483972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483972

Therefore, the GCF of Fractions 5710/372,9729/1301 is 1/483972

Least Common Multiple of 372,1301 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 372,1301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,1301) = 1

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

GCF(372,1301) x common factors =1 x 1 = 1

LCM(372,1301) = ( 372 × 1301 ) / 1

LCM(372,1301) = 483972 / 1

LCM(372,1301) = 483972

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FAQs on GCF of Fractions of 5710/372, 9729/1301

1. What is the HCF of 5710,9729?

The HCF of 5710,9729 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 5710/372, 9729/1301?

Answer: GCF of Numerators as per given numbers 5710/372, 9729/1301 is

GCF of Numerators i.e. for 5710,9729 is 1

LCM of denominators i.e. for 372,1301 is 483972.

Thus, GCF of Fractions is 1/483972.Finally, GCF of Fractions for 5710/372, 9729/1301 is 1/483972.