GCF of 8768/769, 3471/9968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8768/769, 3471/9968 i.e 1/7665392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8768/769, 3471/9968.
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 8768/769,3471/9968?
Given fractions are 8768/769,3471/9968
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 8768/769,3471/9968, numerators are 8768,3471
Denominators are 769,9968
The GCF of 8768,3471 is 1 .
LCM of 769,9968 is 7665392.
The greatest common factor of 8768/769,3471/9968 = [GCF of 8768,3471]/[LCM of 769,9968]= 1/7665392
Therefore, the GCF of 8768/769,3471/9968 is 1/7665392.
To find the highest common factor of 8768,3471, we have to find the factors of both numbers and list the highest common factor.
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The factors of 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471
The HCF of 8768,3471 is 1.
Lets's calculate GCF of 8768,3471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8768,3471 By Matching Biggest Common Factor Method
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Now, list down the factors of 3471
:1,3,13,39,89,267,1157,3471
Greatest Common Factor
We found the factors 8768,3471 . The biggest common factor number is the GCF number.
So the greatest common factor 8768,3471 is 1.
Lets's calculate LCM of 769,9968
Given numbers has no common factors except 1. So, there LCM is their product i.e 7665392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7665392
Therefore, the GCF of Fractions 8768/769,3471/9968 is 1/7665392
Least Common Multiple of 769,9968 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 769,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,9968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,9968) x common factors =1 x 1 = 1
LCM(769,9968) = ( 769 × 9968 ) / 1
LCM(769,9968) = 7665392 / 1
LCM(769,9968) = 7665392
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FAQs on GCF of Fractions of 8768/769, 3471/9968
1. What is the HCF of 8768,3471?
The HCF of 8768,3471 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 8768/769, 3471/9968?
Answer: GCF of Numerators as per given numbers 8768/769, 3471/9968 is
GCF of Numerators i.e. for 8768,3471 is 1
LCM of denominators i.e. for 769,9968 is 7665392.
Thus, GCF of Fractions is 1/7665392.Finally, GCF of Fractions for 8768/769, 3471/9968 is 1/7665392.