GCF of 4488/333, 6669/4816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4488/333, 6669/4816 i.e 3/1603728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4488/333, 6669/4816.
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 4488/333,6669/4816?
Given fractions are 4488/333,6669/4816
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 4488/333,6669/4816, numerators are 4488,6669
Denominators are 333,4816
The GCF of 4488,6669 is 3 .
LCM of 333,4816 is 1603728.
The greatest common factor of 4488/333,6669/4816 = [GCF of 4488,6669]/[LCM of 333,4816]= 3/1603728
Therefore, the GCF of 4488/333,6669/4816 is 3/1603728.
To find the highest common factor of 4488,6669, we have to find the factors of both numbers and list the highest common factor.
The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The HCF of 4488,6669 is 3.
Lets's calculate GCF of 4488,6669
| 3 | 4488, 6669 |
| 1496, 2223 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4488,6669 By Matching Biggest Common Factor Method
Now, list down the factors of 4488
:1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors 4488,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,6669 is 3.
Lets's calculate LCM of 333,4816
Given numbers has no common factors except 1. So, there LCM is their product i.e 1603728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1603728
Therefore, the GCF of Fractions 4488/333,6669/4816 is 3/1603728
Least Common Multiple of 333,4816 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 333,4816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,4816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,4816) x common factors =1 x 1 = 1
LCM(333,4816) = ( 333 × 4816 ) / 1
LCM(333,4816) = 1603728 / 1
LCM(333,4816) = 1603728
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FAQs on GCF of Fractions of 4488/333, 6669/4816
1. What is the HCF of 4488,6669?
The HCF of 4488,6669 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 4488/333, 6669/4816?
Answer: GCF of Numerators as per given numbers 4488/333, 6669/4816 is
GCF of Numerators i.e. for 4488,6669 is 3
LCM of denominators i.e. for 333,4816 is 1603728.
Thus, GCF of Fractions is 3/1603728.Finally, GCF of Fractions for 4488/333, 6669/4816 is 3/1603728.