GCF of 8909/902, 9966/2343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8909/902, 9966/2343 i.e 151/192126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8909/902, 9966/2343.
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 8909/902,9966/2343?
Given fractions are 8909/902,9966/2343
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 8909/902,9966/2343, numerators are 8909,9966
Denominators are 902,2343
The GCF of 8909,9966 is 151 .
LCM of 902,2343 is 192126.
The greatest common factor of 8909/902,9966/2343 = [GCF of 8909,9966]/[LCM of 902,2343]= 151/192126
Therefore, the GCF of 8909/902,9966/2343 is 151/192126.
To find the highest common factor of 8909,9966, we have to find the factors of both numbers and list the highest common factor.
The factors of 8909 are 1, 59, 151, 8909
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The HCF of 8909,9966 is 151.
Lets's calculate GCF of 8909,9966
| 151 | 8909, 9966 |
| 59, 66 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 8909,9966 By Matching Biggest Common Factor Method
Now, list down the factors of 8909
:1,59,151,8909
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 8909,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 8909,9966 is 151.
Lets's calculate LCM of 902,2343
| 11 | 902, 2343 |
| 82, 213 |
∴ So the LCM of the given numbers is 11 x 82 x 213 = 192126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/192126
Therefore, the GCF of Fractions 8909/902,9966/2343 is 151/192126
Least Common Multiple of 902,2343 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 902,2343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,2343) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(902,2343) x common factors =11 x 1 = 11
LCM(902,2343) = ( 902 × 2343 ) / 11
LCM(902,2343) = 2113386 / 11
LCM(902,2343) = 192126
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FAQs on GCF of Fractions of 8909/902, 9966/2343
1. What is the HCF of 8909,9966?
The HCF of 8909,9966 is 151
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 8909/902, 9966/2343?
Answer: GCF of Numerators as per given numbers 8909/902, 9966/2343 is
GCF of Numerators i.e. for 8909,9966 is 151
LCM of denominators i.e. for 902,2343 is 192126.
Thus, GCF of Fractions is 151/192126.Finally, GCF of Fractions for 8909/902, 9966/2343 is 151/192126.