GCF of 9163/191, 3905/4124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9163/191, 3905/4124 i.e 11/787684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9163/191, 3905/4124.
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 9163/191,3905/4124?
Given fractions are 9163/191,3905/4124
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 9163/191,3905/4124, numerators are 9163,3905
Denominators are 191,4124
The GCF of 9163,3905 is 11 .
LCM of 191,4124 is 787684.
The greatest common factor of 9163/191,3905/4124 = [GCF of 9163,3905]/[LCM of 191,4124]= 11/787684
Therefore, the GCF of 9163/191,3905/4124 is 11/787684.
To find the highest common factor of 9163,3905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The HCF of 9163,3905 is 11.
Lets's calculate GCF of 9163,3905
| 11 | 9163, 3905 |
| 833, 355 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9163,3905 By Matching Biggest Common Factor Method
Now, list down the factors of 9163
:1,7,11,17,49,77,119,187,539,833,1309,9163
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Greatest Common Factor
We found the factors 9163,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 9163,3905 is 11.
Lets's calculate LCM of 191,4124
Given numbers has no common factors except 1. So, there LCM is their product i.e 787684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/787684
Therefore, the GCF of Fractions 9163/191,3905/4124 is 11/787684
Least Common Multiple of 191,4124 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 191,4124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,4124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,4124) x common factors =1 x 1 = 1
LCM(191,4124) = ( 191 × 4124 ) / 1
LCM(191,4124) = 787684 / 1
LCM(191,4124) = 787684
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9163/191, 3905/4124
1. What is the HCF of 9163,3905?
The HCF of 9163,3905 is 11
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 9163/191, 3905/4124?
Answer: GCF of Numerators as per given numbers 9163/191, 3905/4124 is
GCF of Numerators i.e. for 9163,3905 is 11
LCM of denominators i.e. for 191,4124 is 787684.
Thus, GCF of Fractions is 11/787684.Finally, GCF of Fractions for 9163/191, 3905/4124 is 11/787684.