GCF of 5904/924, 3303/1313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5904/924, 3303/1313 i.e 9/1213212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5904/924, 3303/1313.
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 5904/924,3303/1313?
Given fractions are 5904/924,3303/1313
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 5904/924,3303/1313, numerators are 5904,3303
Denominators are 924,1313
The GCF of 5904,3303 is 9 .
LCM of 924,1313 is 1213212.
The greatest common factor of 5904/924,3303/1313 = [GCF of 5904,3303]/[LCM of 924,1313]= 9/1213212
Therefore, the GCF of 5904/924,3303/1313 is 9/1213212.
To find the highest common factor of 5904,3303, we have to find the factors of both numbers and list the highest common factor.
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The factors of 3303 are 1, 3, 9, 367, 1101, 3303
The HCF of 5904,3303 is 9.
Lets's calculate GCF of 5904,3303
| 3 | 5904, 3303 |
| 3 | 1968, 1101 |
| 656, 367 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5904,3303 By Matching Biggest Common Factor Method
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Now, list down the factors of 3303
:1,3,9,367,1101,3303
Greatest Common Factor
We found the factors 5904,3303 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,3303 is 9.
Lets's calculate LCM of 924,1313
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1213212
Therefore, the GCF of Fractions 5904/924,3303/1313 is 9/1213212
Least Common Multiple of 924,1313 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 924,1313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,1313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,1313) x common factors =1 x 1 = 1
LCM(924,1313) = ( 924 × 1313 ) / 1
LCM(924,1313) = 1213212 / 1
LCM(924,1313) = 1213212
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FAQs on GCF of Fractions of 5904/924, 3303/1313
1. What is the HCF of 5904,3303?
The HCF of 5904,3303 is 9
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 5904/924, 3303/1313?
Answer: GCF of Numerators as per given numbers 5904/924, 3303/1313 is
GCF of Numerators i.e. for 5904,3303 is 9
LCM of denominators i.e. for 924,1313 is 1213212.
Thus, GCF of Fractions is 9/1213212.Finally, GCF of Fractions for 5904/924, 3303/1313 is 9/1213212.