GCF of 9909/190, 8049/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9909/190, 8049/814 i.e 3/77330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9909/190, 8049/814.
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 9909/190,8049/814?
Given fractions are 9909/190,8049/814
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 9909/190,8049/814, numerators are 9909,8049
Denominators are 190,814
The GCF of 9909,8049 is 3 .
LCM of 190,814 is 77330.
The greatest common factor of 9909/190,8049/814 = [GCF of 9909,8049]/[LCM of 190,814]= 3/77330
Therefore, the GCF of 9909/190,8049/814 is 3/77330.
To find the highest common factor of 9909,8049, we have to find the factors of both numbers and list the highest common factor.
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The factors of 8049 are 1, 3, 2683, 8049
The HCF of 9909,8049 is 3.
Lets's calculate GCF of 9909,8049
| 3 | 9909, 8049 |
| 3303, 2683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9909,8049 By Matching Biggest Common Factor Method
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Now, list down the factors of 8049
:1,3,2683,8049
Greatest Common Factor
We found the factors 9909,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 9909,8049 is 3.
Lets's calculate LCM of 190,814
| 2 | 190, 814 |
| 95, 407 |
∴ So the LCM of the given numbers is 2 x 95 x 407 = 77330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77330
Therefore, the GCF of Fractions 9909/190,8049/814 is 3/77330
Least Common Multiple of 190,814 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 190,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,814) x common factors =2 x 1 = 2
LCM(190,814) = ( 190 × 814 ) / 2
LCM(190,814) = 154660 / 2
LCM(190,814) = 77330
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FAQs on GCF of Fractions of 9909/190, 8049/814
1. What is the HCF of 9909,8049?
The HCF of 9909,8049 is 3
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 9909/190, 8049/814?
Answer: GCF of Numerators as per given numbers 9909/190, 8049/814 is
GCF of Numerators i.e. for 9909,8049 is 3
LCM of denominators i.e. for 190,814 is 77330.
Thus, GCF of Fractions is 3/77330.Finally, GCF of Fractions for 9909/190, 8049/814 is 3/77330.