GCF of 9921/99, 6303/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9921/99, 6303/242 i.e 3/2178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9921/99, 6303/242.
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 9921/99,6303/242?
Given fractions are 9921/99,6303/242
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 9921/99,6303/242, numerators are 9921,6303
Denominators are 99,242
The GCF of 9921,6303 is 3 .
LCM of 99,242 is 2178.
The greatest common factor of 9921/99,6303/242 = [GCF of 9921,6303]/[LCM of 99,242]= 3/2178
Therefore, the GCF of 9921/99,6303/242 is 3/2178.
To find the highest common factor of 9921,6303, we have to find the factors of both numbers and list the highest common factor.
The factors of 9921 are 1, 3, 3307, 9921
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The HCF of 9921,6303 is 3.
Lets's calculate GCF of 9921,6303
| 3 | 9921, 6303 |
| 3307, 2101 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9921,6303 By Matching Biggest Common Factor Method
Now, list down the factors of 9921
:1,3,3307,9921
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Greatest Common Factor
We found the factors 9921,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,6303 is 3.
Lets's calculate LCM of 99,242
| 11 | 99, 242 |
| 9, 22 |
∴ So the LCM of the given numbers is 11 x 9 x 22 = 2178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2178
Therefore, the GCF of Fractions 9921/99,6303/242 is 3/2178
Least Common Multiple of 99,242 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 99,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,242) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(99,242) x common factors =11 x 1 = 11
LCM(99,242) = ( 99 × 242 ) / 11
LCM(99,242) = 23958 / 11
LCM(99,242) = 2178
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FAQs on GCF of Fractions of 9921/99, 6303/242
1. What is the HCF of 9921,6303?
The HCF of 9921,6303 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 9921/99, 6303/242?
Answer: GCF of Numerators as per given numbers 9921/99, 6303/242 is
GCF of Numerators i.e. for 9921,6303 is 3
LCM of denominators i.e. for 99,242 is 2178.
Thus, GCF of Fractions is 3/2178.Finally, GCF of Fractions for 9921/99, 6303/242 is 3/2178.