GCF of 8191/478, 6563/3448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8191/478, 6563/3448 i.e 1/824072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8191/478, 6563/3448.
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 8191/478,6563/3448?
Given fractions are 8191/478,6563/3448
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 8191/478,6563/3448, numerators are 8191,6563
Denominators are 478,3448
The GCF of 8191,6563 is 1 .
LCM of 478,3448 is 824072.
The greatest common factor of 8191/478,6563/3448 = [GCF of 8191,6563]/[LCM of 478,3448]= 1/824072
Therefore, the GCF of 8191/478,6563/3448 is 1/824072.
To find the highest common factor of 8191,6563, we have to find the factors of both numbers and list the highest common factor.
The factors of 8191 are 1, 8191
The factors of 6563 are 1, 6563
The HCF of 8191,6563 is 1.
Lets's calculate GCF of 8191,6563
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8191,6563 By Matching Biggest Common Factor Method
Now, list down the factors of 8191
:1,8191
Now, list down the factors of 6563
:1,6563
Greatest Common Factor
We found the factors 8191,6563 . The biggest common factor number is the GCF number.
So the greatest common factor 8191,6563 is 1.
Lets's calculate LCM of 478,3448
| 2 | 478, 3448 |
| 239, 1724 |
∴ So the LCM of the given numbers is 2 x 239 x 1724 = 824072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824072
Therefore, the GCF of Fractions 8191/478,6563/3448 is 1/824072
Least Common Multiple of 478,3448 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 478,3448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,3448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,3448) x common factors =2 x 1 = 2
LCM(478,3448) = ( 478 × 3448 ) / 2
LCM(478,3448) = 1648144 / 2
LCM(478,3448) = 824072
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FAQs on GCF of Fractions of 8191/478, 6563/3448
1. What is the HCF of 8191,6563?
The HCF of 8191,6563 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 8191/478, 6563/3448?
Answer: GCF of Numerators as per given numbers 8191/478, 6563/3448 is
GCF of Numerators i.e. for 8191,6563 is 1
LCM of denominators i.e. for 478,3448 is 824072.
Thus, GCF of Fractions is 1/824072.Finally, GCF of Fractions for 8191/478, 6563/3448 is 1/824072.