How to Find GCF of 6817/248, 9317/8571?

GCF of 6817/248, 9317/8571

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 6817/248, 9317/8571 i.e 1/2125608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6817/248, 9317/8571.

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 6817/248,9317/8571?

Given fractions are 6817/248,9317/8571

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 6817/248,9317/8571, numerators are 6817,9317

Denominators are 248,8571

The GCF of 6817,9317 is 1 .

LCM of 248,8571 is 2125608.

The greatest common factor of 6817/248,9317/8571 = [GCF of 6817,9317]/[LCM of 248,8571]= 1/2125608

Therefore, the GCF of 6817/248,9317/8571 is 1/2125608.

Greatest Common Factor of 6817,9317

To find the highest common factor of 6817,9317, we have to find the factors of both numbers and list the highest common factor.

The factors of 6817 are 1, 17, 401, 6817

The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317

The HCF of 6817,9317 is 1.

Lets's calculate GCF of 6817,9317

Greatest Common Factor (GCF) of 6817,9317 By Common Division

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

Greatest Common Factor of 6817,9317 By Matching Biggest Common Factor Method

Now, list down the factors of 6817

1,17,401,6817

Now, list down the factors of 9317

1,7,11,77,121,847,1331,9317

Greatest Common Factor

We found the factors 6817,9317 . The biggest common factor number is the GCF number.
So the greatest common factor 6817,9317 is 1.

Lets's calculate LCM of 248,8571

Lowest Common Multiple of 248,8571 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2125608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2125608

Therefore, the GCF of Fractions 6817/248,9317/8571 is 1/2125608

Least Common Multiple of 248,8571 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 248,8571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,8571) = 1

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

GCF(248,8571) x common factors =1 x 1 = 1

LCM(248,8571) = ( 248 × 8571 ) / 1

LCM(248,8571) = 2125608 / 1

LCM(248,8571) = 2125608

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FAQs on GCF of Fractions of 6817/248, 9317/8571

1. What is the HCF of 6817,9317?

The HCF of 6817,9317 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 6817/248, 9317/8571?

Answer: GCF of Numerators as per given numbers 6817/248, 9317/8571 is

GCF of Numerators i.e. for 6817,9317 is 1

LCM of denominators i.e. for 248,8571 is 2125608.

Thus, GCF of Fractions is 1/2125608.Finally, GCF of Fractions for 6817/248, 9317/8571 is 1/2125608.