GCF of 9116/810, 5940/3001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9116/810, 5940/3001 i.e 4/2430810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9116/810, 5940/3001.
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 9116/810,5940/3001?
Given fractions are 9116/810,5940/3001
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 9116/810,5940/3001, numerators are 9116,5940
Denominators are 810,3001
The GCF of 9116,5940 is 4 .
LCM of 810,3001 is 2430810.
The greatest common factor of 9116/810,5940/3001 = [GCF of 9116,5940]/[LCM of 810,3001]= 4/2430810
Therefore, the GCF of 9116/810,5940/3001 is 4/2430810.
To find the highest common factor of 9116,5940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
The HCF of 9116,5940 is 4.
Lets's calculate GCF of 9116,5940
| 2 | 9116, 5940 |
| 2 | 4558, 2970 |
| 2279, 1485 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9116,5940 By Matching Biggest Common Factor Method
Now, list down the factors of 9116
:1,2,4,43,53,86,106,172,212,2279,4558,9116
Now, list down the factors of 5940
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940
Greatest Common Factor
We found the factors 9116,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,5940 is 4.
Lets's calculate LCM of 810,3001
Given numbers has no common factors except 1. So, there LCM is their product i.e 2430810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2430810
Therefore, the GCF of Fractions 9116/810,5940/3001 is 4/2430810
Least Common Multiple of 810,3001 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 810,3001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,3001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,3001) x common factors =1 x 1 = 1
LCM(810,3001) = ( 810 × 3001 ) / 1
LCM(810,3001) = 2430810 / 1
LCM(810,3001) = 2430810
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FAQs on GCF of Fractions of 9116/810, 5940/3001
1. What is the HCF of 9116,5940?
The HCF of 9116,5940 is 4
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 9116/810, 5940/3001?
Answer: GCF of Numerators as per given numbers 9116/810, 5940/3001 is
GCF of Numerators i.e. for 9116,5940 is 4
LCM of denominators i.e. for 810,3001 is 2430810.
Thus, GCF of Fractions is 4/2430810.Finally, GCF of Fractions for 9116/810, 5940/3001 is 4/2430810.