GCF of 2448/443, 2329/3916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2448/443, 2329/3916 i.e 17/1734788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2448/443, 2329/3916.
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 2448/443,2329/3916?
Given fractions are 2448/443,2329/3916
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 2448/443,2329/3916, numerators are 2448,2329
Denominators are 443,3916
The GCF of 2448,2329 is 17 .
LCM of 443,3916 is 1734788.
The greatest common factor of 2448/443,2329/3916 = [GCF of 2448,2329]/[LCM of 443,3916]= 17/1734788
Therefore, the GCF of 2448/443,2329/3916 is 17/1734788.
To find the highest common factor of 2448,2329, we have to find the factors of both numbers and list the highest common factor.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The factors of 2329 are 1, 17, 137, 2329
The HCF of 2448,2329 is 17.
Lets's calculate GCF of 2448,2329
| 17 | 2448, 2329 |
| 144, 137 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2448,2329 By Matching Biggest Common Factor Method
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Now, list down the factors of 2329
:1,17,137,2329
Greatest Common Factor
We found the factors 2448,2329 . The biggest common factor number is the GCF number.
So the greatest common factor 2448,2329 is 17.
Lets's calculate LCM of 443,3916
Given numbers has no common factors except 1. So, there LCM is their product i.e 1734788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1734788
Therefore, the GCF of Fractions 2448/443,2329/3916 is 17/1734788
Least Common Multiple of 443,3916 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 443,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,3916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,3916) x common factors =1 x 1 = 1
LCM(443,3916) = ( 443 × 3916 ) / 1
LCM(443,3916) = 1734788 / 1
LCM(443,3916) = 1734788
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FAQs on GCF of Fractions of 2448/443, 2329/3916
1. What is the HCF of 2448,2329?
The HCF of 2448,2329 is 17
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 2448/443, 2329/3916?
Answer: GCF of Numerators as per given numbers 2448/443, 2329/3916 is
GCF of Numerators i.e. for 2448,2329 is 17
LCM of denominators i.e. for 443,3916 is 1734788.
Thus, GCF of Fractions is 17/1734788.Finally, GCF of Fractions for 2448/443, 2329/3916 is 17/1734788.