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GCF of 811/296, 721/586

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 811/296, 721/586 i.e 1/86728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/296, 721/586.

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 811/296,721/586?

Given fractions are 811/296,721/586

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 811/296,721/586, numerators are 811,721

Denominators are 296,586

The GCF of 811,721 is 1 .

LCM of 296,586 is 86728.

The greatest common factor of 811/296,721/586 = [GCF of 811,721]/[LCM of 296,586]= 1/86728

Therefore, the GCF of 811/296,721/586 is 1/86728.

Greatest Common Factor of 811,721

To find the highest common factor of 811,721, we have to find the factors of both numbers and list the highest common factor.

The factors of 811 are 1, 811

The factors of 721 are 1, 7, 103, 721

The HCF of 811,721 is 1.

Lets's calculate GCF of 811,721

Greatest Common Factor (GCF) of 811,721 By Common Division

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

Greatest Common Factor of 811,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,721 By Matching Biggest Common Factor Method

Now, list down the factors of 811

:

1,811

Now, list down the factors of 721

:

1,7,103,721

Greatest Common Factor

We found the factors 811,721 . The biggest common factor number is the GCF number.
So the greatest common factor 811,721 is 1.

Lets's calculate LCM of 296,586

Lowest Common Multiple of 296,586 using Common Division

2 296, 586
148, 293

∴ So the LCM of the given numbers is 2 x 148 x 293 = 86728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86728

Therefore, the GCF of Fractions 811/296,721/586 is 1/86728

Least Common Multiple of 296,586 with GCF Formula

Least Common Multiple of 296,586 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 296,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,586) = 2

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

GCF(296,586) x common factors =2 x 1 = 2

LCM(296,586) = ( 296 × 586 ) / 2

LCM(296,586) = 173456 / 2

LCM(296,586) = 86728


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FAQs on GCF of Fractions of 811/296, 721/586

1. What is the HCF of 811,721?

The HCF of 811,721 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 811/296, 721/586?

Answer: GCF of Numerators as per given numbers 811/296, 721/586 is

GCF of Numerators i.e. for 811,721 is 1

LCM of denominators i.e. for 296,586 is 86728.

Thus, GCF of Fractions is 1/86728.Finally, GCF of Fractions for 811/296, 721/586 is 1/86728.