GCF of 9859/409, 7871/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9859/409, 7871/413 i.e 1/168917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9859/409, 7871/413.
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 9859/409,7871/413?
Given fractions are 9859/409,7871/413
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 9859/409,7871/413, numerators are 9859,7871
Denominators are 409,413
The GCF of 9859,7871 is 1 .
LCM of 409,413 is 168917.
The greatest common factor of 9859/409,7871/413 = [GCF of 9859,7871]/[LCM of 409,413]= 1/168917
Therefore, the GCF of 9859/409,7871/413 is 1/168917.
To find the highest common factor of 9859,7871, we have to find the factors of both numbers and list the highest common factor.
The factors of 9859 are 1, 9859
The factors of 7871 are 1, 17, 463, 7871
The HCF of 9859,7871 is 1.
Lets's calculate GCF of 9859,7871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9859,7871 By Matching Biggest Common Factor Method
Now, list down the factors of 9859
:1,9859
Now, list down the factors of 7871
:1,17,463,7871
Greatest Common Factor
We found the factors 9859,7871 . The biggest common factor number is the GCF number.
So the greatest common factor 9859,7871 is 1.
Lets's calculate LCM of 409,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 168917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168917
Therefore, the GCF of Fractions 9859/409,7871/413 is 1/168917
Least Common Multiple of 409,413 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 409,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,413) x common factors =1 x 1 = 1
LCM(409,413) = ( 409 × 413 ) / 1
LCM(409,413) = 168917 / 1
LCM(409,413) = 168917
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FAQs on GCF of Fractions of 9859/409, 7871/413
1. What is the HCF of 9859,7871?
The HCF of 9859,7871 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 9859/409, 7871/413?
Answer: GCF of Numerators as per given numbers 9859/409, 7871/413 is
GCF of Numerators i.e. for 9859,7871 is 1
LCM of denominators i.e. for 409,413 is 168917.
Thus, GCF of Fractions is 1/168917.Finally, GCF of Fractions for 9859/409, 7871/413 is 1/168917.