GCF of 9166/159, 3929/3505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9166/159, 3929/3505 i.e 1/557295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9166/159, 3929/3505.
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 9166/159,3929/3505?
Given fractions are 9166/159,3929/3505
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 9166/159,3929/3505, numerators are 9166,3929
Denominators are 159,3505
The GCF of 9166,3929 is 1 .
LCM of 159,3505 is 557295.
The greatest common factor of 9166/159,3929/3505 = [GCF of 9166,3929]/[LCM of 159,3505]= 1/557295
Therefore, the GCF of 9166/159,3929/3505 is 1/557295.
To find the highest common factor of 9166,3929, we have to find the factors of both numbers and list the highest common factor.
The factors of 9166 are 1, 2, 4583, 9166
The factors of 3929 are 1, 3929
The HCF of 9166,3929 is 1.
Lets's calculate GCF of 9166,3929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9166,3929 By Matching Biggest Common Factor Method
Now, list down the factors of 9166
:1,2,4583,9166
Now, list down the factors of 3929
:1,3929
Greatest Common Factor
We found the factors 9166,3929 . The biggest common factor number is the GCF number.
So the greatest common factor 9166,3929 is 1.
Lets's calculate LCM of 159,3505
Given numbers has no common factors except 1. So, there LCM is their product i.e 557295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557295
Therefore, the GCF of Fractions 9166/159,3929/3505 is 1/557295
Least Common Multiple of 159,3505 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 159,3505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3505) x common factors =1 x 1 = 1
LCM(159,3505) = ( 159 × 3505 ) / 1
LCM(159,3505) = 557295 / 1
LCM(159,3505) = 557295
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FAQs on GCF of Fractions of 9166/159, 3929/3505
1. What is the HCF of 9166,3929?
The HCF of 9166,3929 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 9166/159, 3929/3505?
Answer: GCF of Numerators as per given numbers 9166/159, 3929/3505 is
GCF of Numerators i.e. for 9166,3929 is 1
LCM of denominators i.e. for 159,3505 is 557295.
Thus, GCF of Fractions is 1/557295.Finally, GCF of Fractions for 9166/159, 3929/3505 is 1/557295.