How to Find GCF of 8713/541, 3838/443?

GCF of 8713/541, 3838/443

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 8713/541, 3838/443 i.e 1/239663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8713/541, 3838/443.

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 8713/541,3838/443?

Given fractions are 8713/541,3838/443

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 8713/541,3838/443, numerators are 8713,3838

Denominators are 541,443

The GCF of 8713,3838 is 1 .

LCM of 541,443 is 239663.

The greatest common factor of 8713/541,3838/443 = [GCF of 8713,3838]/[LCM of 541,443]= 1/239663

Therefore, the GCF of 8713/541,3838/443 is 1/239663.

Greatest Common Factor of 8713,3838

To find the highest common factor of 8713,3838, we have to find the factors of both numbers and list the highest common factor.

The factors of 8713 are 1, 8713

The factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838

The HCF of 8713,3838 is 1.

Lets's calculate GCF of 8713,3838

Greatest Common Factor (GCF) of 8713,3838 By Common Division

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

Greatest Common Factor of 8713,3838 By Matching Biggest Common Factor Method

Now, list down the factors of 8713

1,8713

Now, list down the factors of 3838

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors 8713,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,3838 is 1.

Lets's calculate LCM of 541,443

Lowest Common Multiple of 541,443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 239663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239663

Therefore, the GCF of Fractions 8713/541,3838/443 is 1/239663

Least Common Multiple of 541,443 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 541,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,443) = 1

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

GCF(541,443) x common factors =1 x 1 = 1

LCM(541,443) = ( 541 × 443 ) / 1

LCM(541,443) = 239663 / 1

LCM(541,443) = 239663

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FAQs on GCF of Fractions of 8713/541, 3838/443

1. What is the HCF of 8713,3838?

The HCF of 8713,3838 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 8713/541, 3838/443?

Answer: GCF of Numerators as per given numbers 8713/541, 3838/443 is

GCF of Numerators i.e. for 8713,3838 is 1

LCM of denominators i.e. for 541,443 is 239663.

Thus, GCF of Fractions is 1/239663.Finally, GCF of Fractions for 8713/541, 3838/443 is 1/239663.