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GCF of 241/439, 353/865

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 241/439, 353/865 i.e 1/379735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 241/439, 353/865.

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 241/439,353/865?

Given fractions are 241/439,353/865

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 241/439,353/865, numerators are 241,353

Denominators are 439,865

The GCF of 241,353 is 1 .

LCM of 439,865 is 379735.

The greatest common factor of 241/439,353/865 = [GCF of 241,353]/[LCM of 439,865]= 1/379735

Therefore, the GCF of 241/439,353/865 is 1/379735.

Greatest Common Factor of 241,353

To find the highest common factor of 241,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 241 are 1, 241

The factors of 353 are 1, 353

The HCF of 241,353 is 1.

Lets's calculate GCF of 241,353

Greatest Common Factor (GCF) of 241,353 By Common Division

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

Greatest Common Factor of 241,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,353 By Matching Biggest Common Factor Method

Now, list down the factors of 241

:

1,241

Now, list down the factors of 353

:

1,353

Greatest Common Factor

We found the factors 241,353 . The biggest common factor number is the GCF number.
So the greatest common factor 241,353 is 1.

Lets's calculate LCM of 439,865

Lowest Common Multiple of 439,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 379735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379735

Therefore, the GCF of Fractions 241/439,353/865 is 1/379735

Least Common Multiple of 439,865 with GCF Formula

Least Common Multiple of 439,865 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 439,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,865) = 1

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

GCF(439,865) x common factors =1 x 1 = 1

LCM(439,865) = ( 439 × 865 ) / 1

LCM(439,865) = 379735 / 1

LCM(439,865) = 379735


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FAQs on GCF of Fractions of 241/439, 353/865

1. What is the HCF of 241,353?

The HCF of 241,353 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 241/439, 353/865?

Answer: GCF of Numerators as per given numbers 241/439, 353/865 is

GCF of Numerators i.e. for 241,353 is 1

LCM of denominators i.e. for 439,865 is 379735.

Thus, GCF of Fractions is 1/379735.Finally, GCF of Fractions for 241/439, 353/865 is 1/379735.