GCF of 9351/993, 9166/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9351/993, 9166/163 i.e 1/161859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9351/993, 9166/163.
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 9351/993,9166/163?
Given fractions are 9351/993,9166/163
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 9351/993,9166/163, numerators are 9351,9166
Denominators are 993,163
The GCF of 9351,9166 is 1 .
LCM of 993,163 is 161859.
The greatest common factor of 9351/993,9166/163 = [GCF of 9351,9166]/[LCM of 993,163]= 1/161859
Therefore, the GCF of 9351/993,9166/163 is 1/161859.
To find the highest common factor of 9351,9166, we have to find the factors of both numbers and list the highest common factor.
The factors of 9351 are 1, 3, 9, 1039, 3117, 9351
The factors of 9166 are 1, 2, 4583, 9166
The HCF of 9351,9166 is 1.
Lets's calculate GCF of 9351,9166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9351,9166 By Matching Biggest Common Factor Method
Now, list down the factors of 9351
:1,3,9,1039,3117,9351
Now, list down the factors of 9166
:1,2,4583,9166
Greatest Common Factor
We found the factors 9351,9166 . The biggest common factor number is the GCF number.
So the greatest common factor 9351,9166 is 1.
Lets's calculate LCM of 993,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 161859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161859
Therefore, the GCF of Fractions 9351/993,9166/163 is 1/161859
Least Common Multiple of 993,163 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 993,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,163) x common factors =1 x 1 = 1
LCM(993,163) = ( 993 × 163 ) / 1
LCM(993,163) = 161859 / 1
LCM(993,163) = 161859
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FAQs on GCF of Fractions of 9351/993, 9166/163
1. What is the HCF of 9351,9166?
The HCF of 9351,9166 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 9351/993, 9166/163?
Answer: GCF of Numerators as per given numbers 9351/993, 9166/163 is
GCF of Numerators i.e. for 9351,9166 is 1
LCM of denominators i.e. for 993,163 is 161859.
Thus, GCF of Fractions is 1/161859.Finally, GCF of Fractions for 9351/993, 9166/163 is 1/161859.