GCF of 8315/978, 6099/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8315/978, 6099/139 i.e 1/135942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8315/978, 6099/139.
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 8315/978,6099/139?
Given fractions are 8315/978,6099/139
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 8315/978,6099/139, numerators are 8315,6099
Denominators are 978,139
The GCF of 8315,6099 is 1 .
LCM of 978,139 is 135942.
The greatest common factor of 8315/978,6099/139 = [GCF of 8315,6099]/[LCM of 978,139]= 1/135942
Therefore, the GCF of 8315/978,6099/139 is 1/135942.
To find the highest common factor of 8315,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 8315 are 1, 5, 1663, 8315
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 8315,6099 is 1.
Lets's calculate GCF of 8315,6099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8315,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 8315
:1,5,1663,8315
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 8315,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 8315,6099 is 1.
Lets's calculate LCM of 978,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 135942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135942
Therefore, the GCF of Fractions 8315/978,6099/139 is 1/135942
Least Common Multiple of 978,139 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 978,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,139) x common factors =1 x 1 = 1
LCM(978,139) = ( 978 × 139 ) / 1
LCM(978,139) = 135942 / 1
LCM(978,139) = 135942
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FAQs on GCF of Fractions of 8315/978, 6099/139
1. What is the HCF of 8315,6099?
The HCF of 8315,6099 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 8315/978, 6099/139?
Answer: GCF of Numerators as per given numbers 8315/978, 6099/139 is
GCF of Numerators i.e. for 8315,6099 is 1
LCM of denominators i.e. for 978,139 is 135942.
Thus, GCF of Fractions is 1/135942.Finally, GCF of Fractions for 8315/978, 6099/139 is 1/135942.