GCF of 5006/101, 8355/8039
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5006/101, 8355/8039 i.e 1/811939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5006/101, 8355/8039.
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 5006/101,8355/8039?
Given fractions are 5006/101,8355/8039
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 5006/101,8355/8039, numerators are 5006,8355
Denominators are 101,8039
The GCF of 5006,8355 is 1 .
LCM of 101,8039 is 811939.
The greatest common factor of 5006/101,8355/8039 = [GCF of 5006,8355]/[LCM of 101,8039]= 1/811939
Therefore, the GCF of 5006/101,8355/8039 is 1/811939.
To find the highest common factor of 5006,8355, we have to find the factors of both numbers and list the highest common factor.
The factors of 5006 are 1, 2, 2503, 5006
The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355
The HCF of 5006,8355 is 1.
Lets's calculate GCF of 5006,8355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5006,8355 By Matching Biggest Common Factor Method
Now, list down the factors of 5006
:1,2,2503,5006
Now, list down the factors of 8355
:1,3,5,15,557,1671,2785,8355
Greatest Common Factor
We found the factors 5006,8355 . The biggest common factor number is the GCF number.
So the greatest common factor 5006,8355 is 1.
Lets's calculate LCM of 101,8039
Given numbers has no common factors except 1. So, there LCM is their product i.e 811939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811939
Therefore, the GCF of Fractions 5006/101,8355/8039 is 1/811939
Least Common Multiple of 101,8039 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 101,8039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,8039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,8039) x common factors =1 x 1 = 1
LCM(101,8039) = ( 101 × 8039 ) / 1
LCM(101,8039) = 811939 / 1
LCM(101,8039) = 811939
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FAQs on GCF of Fractions of 5006/101, 8355/8039
1. What is the HCF of 5006,8355?
The HCF of 5006,8355 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 5006/101, 8355/8039?
Answer: GCF of Numerators as per given numbers 5006/101, 8355/8039 is
GCF of Numerators i.e. for 5006,8355 is 1
LCM of denominators i.e. for 101,8039 is 811939.
Thus, GCF of Fractions is 1/811939.Finally, GCF of Fractions for 5006/101, 8355/8039 is 1/811939.