GCF of 2191/723, 8816/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2191/723, 8816/2816 i.e 1/2035968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2191/723, 8816/2816.
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 2191/723,8816/2816?
Given fractions are 2191/723,8816/2816
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 2191/723,8816/2816, numerators are 2191,8816
Denominators are 723,2816
The GCF of 2191,8816 is 1 .
LCM of 723,2816 is 2035968.
The greatest common factor of 2191/723,8816/2816 = [GCF of 2191,8816]/[LCM of 723,2816]= 1/2035968
Therefore, the GCF of 2191/723,8816/2816 is 1/2035968.
To find the highest common factor of 2191,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 2191 are 1, 7, 313, 2191
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 2191,8816 is 1.
Lets's calculate GCF of 2191,8816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2191,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 2191
:1,7,313,2191
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 2191,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 2191,8816 is 1.
Lets's calculate LCM of 723,2816
Given numbers has no common factors except 1. So, there LCM is their product i.e 2035968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2035968
Therefore, the GCF of Fractions 2191/723,8816/2816 is 1/2035968
Least Common Multiple of 723,2816 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 723,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,2816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,2816) x common factors =1 x 1 = 1
LCM(723,2816) = ( 723 × 2816 ) / 1
LCM(723,2816) = 2035968 / 1
LCM(723,2816) = 2035968
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FAQs on GCF of Fractions of 2191/723, 8816/2816
1. What is the HCF of 2191,8816?
The HCF of 2191,8816 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 2191/723, 8816/2816?
Answer: GCF of Numerators as per given numbers 2191/723, 8816/2816 is
GCF of Numerators i.e. for 2191,8816 is 1
LCM of denominators i.e. for 723,2816 is 2035968.
Thus, GCF of Fractions is 1/2035968.Finally, GCF of Fractions for 2191/723, 8816/2816 is 1/2035968.