How to Find GCF of 8303/841, 6665/406?

GCF of 8303/841, 6665/406

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 8303/841, 6665/406 i.e 1/11774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8303/841, 6665/406.

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 8303/841,6665/406?

Given fractions are 8303/841,6665/406

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 8303/841,6665/406, numerators are 8303,6665

Denominators are 841,406

The GCF of 8303,6665 is 1 .

LCM of 841,406 is 11774.

The greatest common factor of 8303/841,6665/406 = [GCF of 8303,6665]/[LCM of 841,406]= 1/11774

Therefore, the GCF of 8303/841,6665/406 is 1/11774.

Greatest Common Factor of 8303,6665

To find the highest common factor of 8303,6665, we have to find the factors of both numbers and list the highest common factor.

The factors of 8303 are 1, 19, 23, 361, 437, 8303

The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665

The HCF of 8303,6665 is 1.

Lets's calculate GCF of 8303,6665

Greatest Common Factor (GCF) of 8303,6665 By Common Division

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

Greatest Common Factor of 8303,6665 By Matching Biggest Common Factor Method

Now, list down the factors of 8303

1,19,23,361,437,8303

Now, list down the factors of 6665

1,5,31,43,155,215,1333,6665

Greatest Common Factor

We found the factors 8303,6665 . The biggest common factor number is the GCF number.
So the greatest common factor 8303,6665 is 1.

Lets's calculate LCM of 841,406

Lowest Common Multiple of 841,406 using Common Division

29	841, 406
	29, 14

∴ So the LCM of the given numbers is 29 x 29 x 14 = 11774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11774

Therefore, the GCF of Fractions 8303/841,6665/406 is 1/11774

Least Common Multiple of 841,406 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 841,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,406) = 29

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

GCF(841,406) x common factors =29 x 1 = 29

LCM(841,406) = ( 841 × 406 ) / 29

LCM(841,406) = 341446 / 29

LCM(841,406) = 11774

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FAQs on GCF of Fractions of 8303/841, 6665/406

1. What is the HCF of 8303,6665?

The HCF of 8303,6665 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 8303/841, 6665/406?

Answer: GCF of Numerators as per given numbers 8303/841, 6665/406 is

GCF of Numerators i.e. for 8303,6665 is 1

LCM of denominators i.e. for 841,406 is 11774.

Thus, GCF of Fractions is 1/11774.Finally, GCF of Fractions for 8303/841, 6665/406 is 1/11774.