How to Find GCF of 806/247, 702/416?

GCF of 806/247, 702/416

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 806/247, 702/416 i.e 26/7904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/247, 702/416.

Enter two or more fractions separated by "commas"

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

What is the GCF of 806/247,702/416?

Given fractions are 806/247,702/416

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 806/247,702/416, numerators are 806,702

Denominators are 247,416

The GCF of 806,702 is 26 .

LCM of 247,416 is 7904.

The greatest common factor of 806/247,702/416 = [GCF of 806,702]/[LCM of 247,416]= 26/7904

Therefore, the GCF of 806/247,702/416 is 26/7904.

Greatest Common Factor of 806,702

To find the highest common factor of 806,702, 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 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 806,702 is 26.

Lets's calculate GCF of 806,702

Greatest Common Factor (GCF) of 806,702 By Common Division

2	806, 702
13	403, 351
	31, 27

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

Greatest Common Factor of 806,702 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 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 806,702 . The biggest common factor number is the GCF number.
So the greatest common factor 806,702 is 26.

Lets's calculate LCM of 247,416

Lowest Common Multiple of 247,416 using Common Division

13	247, 416
	19, 32

∴ So the LCM of the given numbers is 13 x 19 x 32 = 7904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/7904

Therefore, the GCF of Fractions 806/247,702/416 is 26/7904

Least Common Multiple of 247,416 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 247,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,416) = 13

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

GCF(247,416) x common factors =13 x 1 = 13

LCM(247,416) = ( 247 × 416 ) / 13

LCM(247,416) = 102752 / 13

LCM(247,416) = 7904

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FAQs on GCF of Fractions of 806/247, 702/416

1. What is the HCF of 806,702?

The HCF of 806,702 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 806/247, 702/416?

Answer: GCF of Numerators as per given numbers 806/247, 702/416 is

GCF of Numerators i.e. for 806,702 is 26

LCM of denominators i.e. for 247,416 is 7904.

Thus, GCF of Fractions is 26/7904.Finally, GCF of Fractions for 806/247, 702/416 is 26/7904.