GCF of 9887/761, 9166/5193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9887/761, 9166/5193 i.e 1/3951873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9887/761, 9166/5193.
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 9887/761,9166/5193?
Given fractions are 9887/761,9166/5193
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 9887/761,9166/5193, numerators are 9887,9166
Denominators are 761,5193
The GCF of 9887,9166 is 1 .
LCM of 761,5193 is 3951873.
The greatest common factor of 9887/761,9166/5193 = [GCF of 9887,9166]/[LCM of 761,5193]= 1/3951873
Therefore, the GCF of 9887/761,9166/5193 is 1/3951873.
To find the highest common factor of 9887,9166, we have to find the factors of both numbers and list the highest common factor.
The factors of 9887 are 1, 9887
The factors of 9166 are 1, 2, 4583, 9166
The HCF of 9887,9166 is 1.
Lets's calculate GCF of 9887,9166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9887,9166 By Matching Biggest Common Factor Method
Now, list down the factors of 9887
:1,9887
Now, list down the factors of 9166
:1,2,4583,9166
Greatest Common Factor
We found the factors 9887,9166 . The biggest common factor number is the GCF number.
So the greatest common factor 9887,9166 is 1.
Lets's calculate LCM of 761,5193
Given numbers has no common factors except 1. So, there LCM is their product i.e 3951873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3951873
Therefore, the GCF of Fractions 9887/761,9166/5193 is 1/3951873
Least Common Multiple of 761,5193 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 761,5193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,5193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,5193) x common factors =1 x 1 = 1
LCM(761,5193) = ( 761 × 5193 ) / 1
LCM(761,5193) = 3951873 / 1
LCM(761,5193) = 3951873
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FAQs on GCF of Fractions of 9887/761, 9166/5193
1. What is the HCF of 9887,9166?
The HCF of 9887,9166 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 9887/761, 9166/5193?
Answer: GCF of Numerators as per given numbers 9887/761, 9166/5193 is
GCF of Numerators i.e. for 9887,9166 is 1
LCM of denominators i.e. for 761,5193 is 3951873.
Thus, GCF of Fractions is 1/3951873.Finally, GCF of Fractions for 9887/761, 9166/5193 is 1/3951873.