GCF of 6471/319, 8336/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6471/319, 8336/385 i.e 1/11165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6471/319, 8336/385.
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 6471/319,8336/385?
Given fractions are 6471/319,8336/385
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 6471/319,8336/385, numerators are 6471,8336
Denominators are 319,385
The GCF of 6471,8336 is 1 .
LCM of 319,385 is 11165.
The greatest common factor of 6471/319,8336/385 = [GCF of 6471,8336]/[LCM of 319,385]= 1/11165
Therefore, the GCF of 6471/319,8336/385 is 1/11165.
To find the highest common factor of 6471,8336, we have to find the factors of both numbers and list the highest common factor.
The factors of 6471 are 1, 3, 9, 719, 2157, 6471
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The HCF of 6471,8336 is 1.
Lets's calculate GCF of 6471,8336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6471,8336 By Matching Biggest Common Factor Method
Now, list down the factors of 6471
:1,3,9,719,2157,6471
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 6471,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 6471,8336 is 1.
Lets's calculate LCM of 319,385
| 11 | 319, 385 |
| 29, 35 |
∴ So the LCM of the given numbers is 11 x 29 x 35 = 11165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11165
Therefore, the GCF of Fractions 6471/319,8336/385 is 1/11165
Least Common Multiple of 319,385 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 319,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,385) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(319,385) x common factors =11 x 1 = 11
LCM(319,385) = ( 319 × 385 ) / 11
LCM(319,385) = 122815 / 11
LCM(319,385) = 11165
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FAQs on GCF of Fractions of 6471/319, 8336/385
1. What is the HCF of 6471,8336?
The HCF of 6471,8336 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 6471/319, 8336/385?
Answer: GCF of Numerators as per given numbers 6471/319, 8336/385 is
GCF of Numerators i.e. for 6471,8336 is 1
LCM of denominators i.e. for 319,385 is 11165.
Thus, GCF of Fractions is 1/11165.Finally, GCF of Fractions for 6471/319, 8336/385 is 1/11165.