GCF of 6871/86, 2291/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6871/86, 2291/912 i.e 1/39216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6871/86, 2291/912.
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 6871/86,2291/912?
Given fractions are 6871/86,2291/912
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 6871/86,2291/912, numerators are 6871,2291
Denominators are 86,912
The GCF of 6871,2291 is 1 .
LCM of 86,912 is 39216.
The greatest common factor of 6871/86,2291/912 = [GCF of 6871,2291]/[LCM of 86,912]= 1/39216
Therefore, the GCF of 6871/86,2291/912 is 1/39216.
To find the highest common factor of 6871,2291, we have to find the factors of both numbers and list the highest common factor.
The factors of 6871 are 1, 6871
The factors of 2291 are 1, 29, 79, 2291
The HCF of 6871,2291 is 1.
Lets's calculate GCF of 6871,2291
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6871,2291 By Matching Biggest Common Factor Method
Now, list down the factors of 6871
:1,6871
Now, list down the factors of 2291
:1,29,79,2291
Greatest Common Factor
We found the factors 6871,2291 . The biggest common factor number is the GCF number.
So the greatest common factor 6871,2291 is 1.
Lets's calculate LCM of 86,912
| 2 | 86, 912 |
| 43, 456 |
∴ So the LCM of the given numbers is 2 x 43 x 456 = 39216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39216
Therefore, the GCF of Fractions 6871/86,2291/912 is 1/39216
Least Common Multiple of 86,912 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 86,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,912) x common factors =2 x 1 = 2
LCM(86,912) = ( 86 × 912 ) / 2
LCM(86,912) = 78432 / 2
LCM(86,912) = 39216
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FAQs on GCF of Fractions of 6871/86, 2291/912
1. What is the HCF of 6871,2291?
The HCF of 6871,2291 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 6871/86, 2291/912?
Answer: GCF of Numerators as per given numbers 6871/86, 2291/912 is
GCF of Numerators i.e. for 6871,2291 is 1
LCM of denominators i.e. for 86,912 is 39216.
Thus, GCF of Fractions is 1/39216.Finally, GCF of Fractions for 6871/86, 2291/912 is 1/39216.