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GCF of 2177/241, 7271/8194

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 2177/241, 7271/8194 i.e 1/8194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2177/241, 7271/8194.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2177/241,7271/8194?

Given fractions are 2177/241,7271/8194

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 2177/241,7271/8194, numerators are 2177,7271

Denominators are 241,8194

The GCF of 2177,7271 is 1 .

LCM of 241,8194 is 8194.

The greatest common factor of 2177/241,7271/8194 = [GCF of 2177,7271]/[LCM of 241,8194]= 1/8194

Therefore, the GCF of 2177/241,7271/8194 is 1/8194.

Greatest Common Factor of 2177,7271

To find the highest common factor of 2177,7271, we have to find the factors of both numbers and list the highest common factor.

The factors of 2177 are 1, 7, 311, 2177

The factors of 7271 are 1, 11, 661, 7271

The HCF of 2177,7271 is 1.

Lets's calculate GCF of 2177,7271

Greatest Common Factor (GCF) of 2177,7271 By Common Division

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

Greatest Common Factor of 2177,7271 By Matching Biggest Common Factor Method

Greatest Common Factor of 2177,7271 By Matching Biggest Common Factor Method

Now, list down the factors of 2177

:

1,7,311,2177

Now, list down the factors of 7271

:

1,11,661,7271

Greatest Common Factor

We found the factors 2177,7271 . The biggest common factor number is the GCF number.
So the greatest common factor 2177,7271 is 1.

Lets's calculate LCM of 241,8194

Lowest Common Multiple of 241,8194 using Common Division

241 241, 8194
1, 34

∴ So the LCM of the given numbers is 241 x 1 x 34 = 8194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8194

Therefore, the GCF of Fractions 2177/241,7271/8194 is 1/8194

Least Common Multiple of 241,8194 with GCF Formula

Least Common Multiple of 241,8194 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 241,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,8194) = 241

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

GCF(241,8194) x common factors =241 x 1 = 241

LCM(241,8194) = ( 241 × 8194 ) / 241

LCM(241,8194) = 1974754 / 241

LCM(241,8194) = 8194


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FAQs on GCF of Fractions of 2177/241, 7271/8194

1. What is the HCF of 2177,7271?

The HCF of 2177,7271 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 2177/241, 7271/8194?

Answer: GCF of Numerators as per given numbers 2177/241, 7271/8194 is

GCF of Numerators i.e. for 2177,7271 is 1

LCM of denominators i.e. for 241,8194 is 8194.

Thus, GCF of Fractions is 1/8194.Finally, GCF of Fractions for 2177/241, 7271/8194 is 1/8194.