GCF of 5009/831, 8768/5632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5009/831, 8768/5632 i.e 1/4680192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5009/831, 8768/5632.
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 5009/831,8768/5632?
Given fractions are 5009/831,8768/5632
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 5009/831,8768/5632, numerators are 5009,8768
Denominators are 831,5632
The GCF of 5009,8768 is 1 .
LCM of 831,5632 is 4680192.
The greatest common factor of 5009/831,8768/5632 = [GCF of 5009,8768]/[LCM of 831,5632]= 1/4680192
Therefore, the GCF of 5009/831,8768/5632 is 1/4680192.
To find the highest common factor of 5009,8768, we have to find the factors of both numbers and list the highest common factor.
The factors of 5009 are 1, 5009
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The HCF of 5009,8768 is 1.
Lets's calculate GCF of 5009,8768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5009,8768 By Matching Biggest Common Factor Method
Now, list down the factors of 5009
:1,5009
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors 5009,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,8768 is 1.
Lets's calculate LCM of 831,5632
Given numbers has no common factors except 1. So, there LCM is their product i.e 4680192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4680192
Therefore, the GCF of Fractions 5009/831,8768/5632 is 1/4680192
Least Common Multiple of 831,5632 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 831,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,5632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,5632) x common factors =1 x 1 = 1
LCM(831,5632) = ( 831 × 5632 ) / 1
LCM(831,5632) = 4680192 / 1
LCM(831,5632) = 4680192
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FAQs on GCF of Fractions of 5009/831, 8768/5632
1. What is the HCF of 5009,8768?
The HCF of 5009,8768 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 5009/831, 8768/5632?
Answer: GCF of Numerators as per given numbers 5009/831, 8768/5632 is
GCF of Numerators i.e. for 5009,8768 is 1
LCM of denominators i.e. for 831,5632 is 4680192.
Thus, GCF of Fractions is 1/4680192.Finally, GCF of Fractions for 5009/831, 8768/5632 is 1/4680192.