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GCF of 344/271, 337/208

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 344/271, 337/208 i.e 1/56368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 344/271, 337/208.

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 344/271,337/208?

Given fractions are 344/271,337/208

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 344/271,337/208, numerators are 344,337

Denominators are 271,208

The GCF of 344,337 is 1 .

LCM of 271,208 is 56368.

The greatest common factor of 344/271,337/208 = [GCF of 344,337]/[LCM of 271,208]= 1/56368

Therefore, the GCF of 344/271,337/208 is 1/56368.

Greatest Common Factor of 344,337

To find the highest common factor of 344,337, we have to find the factors of both numbers and list the highest common factor.

The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344

The factors of 337 are 1, 337

The HCF of 344,337 is 1.

Lets's calculate GCF of 344,337

Greatest Common Factor (GCF) of 344,337 By Common Division

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

Greatest Common Factor of 344,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,337 By Matching Biggest Common Factor Method

Now, list down the factors of 344

:

1,2,4,8,43,86,172,344

Now, list down the factors of 337

:

1,337

Greatest Common Factor

We found the factors 344,337 . The biggest common factor number is the GCF number.
So the greatest common factor 344,337 is 1.

Lets's calculate LCM of 271,208

Lowest Common Multiple of 271,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56368

Therefore, the GCF of Fractions 344/271,337/208 is 1/56368

Least Common Multiple of 271,208 with GCF Formula

Least Common Multiple of 271,208 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 271,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,208) = 1

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

GCF(271,208) x common factors =1 x 1 = 1

LCM(271,208) = ( 271 × 208 ) / 1

LCM(271,208) = 56368 / 1

LCM(271,208) = 56368


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FAQs on GCF of Fractions of 344/271, 337/208

1. What is the HCF of 344,337?

The HCF of 344,337 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 344/271, 337/208?

Answer: GCF of Numerators as per given numbers 344/271, 337/208 is

GCF of Numerators i.e. for 344,337 is 1

LCM of denominators i.e. for 271,208 is 56368.

Thus, GCF of Fractions is 1/56368.Finally, GCF of Fractions for 344/271, 337/208 is 1/56368.