How to Find GCF of 6847/338, 7913/7287?

GCF of 6847/338, 7913/7287

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 6847/338, 7913/7287 i.e 41/2463006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6847/338, 7913/7287.

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 6847/338,7913/7287?

Given fractions are 6847/338,7913/7287

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 6847/338,7913/7287, numerators are 6847,7913

Denominators are 338,7287

The GCF of 6847,7913 is 41 .

LCM of 338,7287 is 2463006.

The greatest common factor of 6847/338,7913/7287 = [GCF of 6847,7913]/[LCM of 338,7287]= 41/2463006

Therefore, the GCF of 6847/338,7913/7287 is 41/2463006.

Greatest Common Factor of 6847,7913

To find the highest common factor of 6847,7913, we have to find the factors of both numbers and list the highest common factor.

The factors of 6847 are 1, 41, 167, 6847

The factors of 7913 are 1, 41, 193, 7913

The HCF of 6847,7913 is 41.

Lets's calculate GCF of 6847,7913

Greatest Common Factor (GCF) of 6847,7913 By Common Division

41	6847, 7913
	167, 193

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 6847,7913 By Matching Biggest Common Factor Method

Now, list down the factors of 6847

1,41,167,6847

Now, list down the factors of 7913

1,41,193,7913

Greatest Common Factor

We found the factors 6847,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 6847,7913 is 41.

Lets's calculate LCM of 338,7287

Lowest Common Multiple of 338,7287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2463006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2463006

Therefore, the GCF of Fractions 6847/338,7913/7287 is 41/2463006

Least Common Multiple of 338,7287 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 338,7287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,7287) = 1

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

GCF(338,7287) x common factors =1 x 1 = 1

LCM(338,7287) = ( 338 × 7287 ) / 1

LCM(338,7287) = 2463006 / 1

LCM(338,7287) = 2463006

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FAQs on GCF of Fractions of 6847/338, 7913/7287

1. What is the HCF of 6847,7913?

The HCF of 6847,7913 is 41

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 6847/338, 7913/7287?

Answer: GCF of Numerators as per given numbers 6847/338, 7913/7287 is

GCF of Numerators i.e. for 6847,7913 is 41

LCM of denominators i.e. for 338,7287 is 2463006.

Thus, GCF of Fractions is 41/2463006.Finally, GCF of Fractions for 6847/338, 7913/7287 is 41/2463006.