GCF of 9013/331, 5066/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9013/331, 5066/105 i.e 1/34755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9013/331, 5066/105.
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 9013/331,5066/105?
Given fractions are 9013/331,5066/105
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 9013/331,5066/105, numerators are 9013,5066
Denominators are 331,105
The GCF of 9013,5066 is 1 .
LCM of 331,105 is 34755.
The greatest common factor of 9013/331,5066/105 = [GCF of 9013,5066]/[LCM of 331,105]= 1/34755
Therefore, the GCF of 9013/331,5066/105 is 1/34755.
To find the highest common factor of 9013,5066, we have to find the factors of both numbers and list the highest common factor.
The factors of 9013 are 1, 9013
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The HCF of 9013,5066 is 1.
Lets's calculate GCF of 9013,5066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9013,5066 By Matching Biggest Common Factor Method
Now, list down the factors of 9013
:1,9013
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Greatest Common Factor
We found the factors 9013,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,5066 is 1.
Lets's calculate LCM of 331,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 34755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34755
Therefore, the GCF of Fractions 9013/331,5066/105 is 1/34755
Least Common Multiple of 331,105 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 331,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,105) x common factors =1 x 1 = 1
LCM(331,105) = ( 331 × 105 ) / 1
LCM(331,105) = 34755 / 1
LCM(331,105) = 34755
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FAQs on GCF of Fractions of 9013/331, 5066/105
1. What is the HCF of 9013,5066?
The HCF of 9013,5066 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 9013/331, 5066/105?
Answer: GCF of Numerators as per given numbers 9013/331, 5066/105 is
GCF of Numerators i.e. for 9013,5066 is 1
LCM of denominators i.e. for 331,105 is 34755.
Thus, GCF of Fractions is 1/34755.Finally, GCF of Fractions for 9013/331, 5066/105 is 1/34755.