GCF of 9903/402, 7191/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9903/402, 7191/382 i.e 3/76782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9903/402, 7191/382.
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 9903/402,7191/382?
Given fractions are 9903/402,7191/382
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 9903/402,7191/382, numerators are 9903,7191
Denominators are 402,382
The GCF of 9903,7191 is 3 .
LCM of 402,382 is 76782.
The greatest common factor of 9903/402,7191/382 = [GCF of 9903,7191]/[LCM of 402,382]= 3/76782
Therefore, the GCF of 9903/402,7191/382 is 3/76782.
To find the highest common factor of 9903,7191, we have to find the factors of both numbers and list the highest common factor.
The factors of 9903 are 1, 3, 3301, 9903
The factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191
The HCF of 9903,7191 is 3.
Lets's calculate GCF of 9903,7191
| 3 | 9903, 7191 |
| 3301, 2397 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9903,7191 By Matching Biggest Common Factor Method
Now, list down the factors of 9903
:1,3,3301,9903
Now, list down the factors of 7191
:1,3,9,17,47,51,141,153,423,799,2397,7191
Greatest Common Factor
We found the factors 9903,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 9903,7191 is 3.
Lets's calculate LCM of 402,382
| 2 | 402, 382 |
| 201, 191 |
∴ So the LCM of the given numbers is 2 x 201 x 191 = 76782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76782
Therefore, the GCF of Fractions 9903/402,7191/382 is 3/76782
Least Common Multiple of 402,382 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 402,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,382) x common factors =2 x 1 = 2
LCM(402,382) = ( 402 × 382 ) / 2
LCM(402,382) = 153564 / 2
LCM(402,382) = 76782
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FAQs on GCF of Fractions of 9903/402, 7191/382
1. What is the HCF of 9903,7191?
The HCF of 9903,7191 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 9903/402, 7191/382?
Answer: GCF of Numerators as per given numbers 9903/402, 7191/382 is
GCF of Numerators i.e. for 9903,7191 is 3
LCM of denominators i.e. for 402,382 is 76782.
Thus, GCF of Fractions is 3/76782.Finally, GCF of Fractions for 9903/402, 7191/382 is 3/76782.