GCF of 5015/384, 3922/8771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5015/384, 3922/8771 i.e 1/3368064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5015/384, 3922/8771.
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 5015/384,3922/8771?
Given fractions are 5015/384,3922/8771
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 5015/384,3922/8771, numerators are 5015,3922
Denominators are 384,8771
The GCF of 5015,3922 is 1 .
LCM of 384,8771 is 3368064.
The greatest common factor of 5015/384,3922/8771 = [GCF of 5015,3922]/[LCM of 384,8771]= 1/3368064
Therefore, the GCF of 5015/384,3922/8771 is 1/3368064.
To find the highest common factor of 5015,3922, we have to find the factors of both numbers and list the highest common factor.
The factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015
The factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922
The HCF of 5015,3922 is 1.
Lets's calculate GCF of 5015,3922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5015,3922 By Matching Biggest Common Factor Method
Now, list down the factors of 5015
:1,5,17,59,85,295,1003,5015
Now, list down the factors of 3922
:1,2,37,53,74,106,1961,3922
Greatest Common Factor
We found the factors 5015,3922 . The biggest common factor number is the GCF number.
So the greatest common factor 5015,3922 is 1.
Lets's calculate LCM of 384,8771
Given numbers has no common factors except 1. So, there LCM is their product i.e 3368064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3368064
Therefore, the GCF of Fractions 5015/384,3922/8771 is 1/3368064
Least Common Multiple of 384,8771 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 384,8771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,8771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(384,8771) x common factors =1 x 1 = 1
LCM(384,8771) = ( 384 × 8771 ) / 1
LCM(384,8771) = 3368064 / 1
LCM(384,8771) = 3368064
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FAQs on GCF of Fractions of 5015/384, 3922/8771
1. What is the HCF of 5015,3922?
The HCF of 5015,3922 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 5015/384, 3922/8771?
Answer: GCF of Numerators as per given numbers 5015/384, 3922/8771 is
GCF of Numerators i.e. for 5015,3922 is 1
LCM of denominators i.e. for 384,8771 is 3368064.
Thus, GCF of Fractions is 1/3368064.Finally, GCF of Fractions for 5015/384, 3922/8771 is 1/3368064.