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GCF of 806/746, 286/610

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 806/746, 286/610 i.e 26/227530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/746, 286/610.

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 806/746,286/610?

Given fractions are 806/746,286/610

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 806/746,286/610, numerators are 806,286

Denominators are 746,610

The GCF of 806,286 is 26 .

LCM of 746,610 is 227530.

The greatest common factor of 806/746,286/610 = [GCF of 806,286]/[LCM of 746,610]= 26/227530

Therefore, the GCF of 806/746,286/610 is 26/227530.

Greatest Common Factor of 806,286

To find the highest common factor of 806,286, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 806,286 is 26.

Lets's calculate GCF of 806,286

Greatest Common Factor (GCF) of 806,286 By Common Division

2 806, 286
13 403, 143
31, 11

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 806,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,286 By Matching Biggest Common Factor Method

Now, list down the factors of 806

:

1,2,13,26,31,62,403,806

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 806,286 . The biggest common factor number is the GCF number.
So the greatest common factor 806,286 is 26.

Lets's calculate LCM of 746,610

Lowest Common Multiple of 746,610 using Common Division

2 746, 610
373, 305

∴ So the LCM of the given numbers is 2 x 373 x 305 = 227530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/227530

Therefore, the GCF of Fractions 806/746,286/610 is 26/227530

Least Common Multiple of 746,610 with GCF Formula

Least Common Multiple of 746,610 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 746,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,610) = 2

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

GCF(746,610) x common factors =2 x 1 = 2

LCM(746,610) = ( 746 × 610 ) / 2

LCM(746,610) = 455060 / 2

LCM(746,610) = 227530


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FAQs on GCF of Fractions of 806/746, 286/610

1. What is the HCF of 806,286?

The HCF of 806,286 is 26

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 806/746, 286/610?

Answer: GCF of Numerators as per given numbers 806/746, 286/610 is

GCF of Numerators i.e. for 806,286 is 26

LCM of denominators i.e. for 746,610 is 227530.

Thus, GCF of Fractions is 26/227530.Finally, GCF of Fractions for 806/746, 286/610 is 26/227530.