GCF of 3663/283, 4647/6168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3663/283, 4647/6168 i.e 3/1745544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3663/283, 4647/6168.
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 3663/283,4647/6168?
Given fractions are 3663/283,4647/6168
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 3663/283,4647/6168, numerators are 3663,4647
Denominators are 283,6168
The GCF of 3663,4647 is 3 .
LCM of 283,6168 is 1745544.
The greatest common factor of 3663/283,4647/6168 = [GCF of 3663,4647]/[LCM of 283,6168]= 3/1745544
Therefore, the GCF of 3663/283,4647/6168 is 3/1745544.
To find the highest common factor of 3663,4647, we have to find the factors of both numbers and list the highest common factor.
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The factors of 4647 are 1, 3, 1549, 4647
The HCF of 3663,4647 is 3.
Lets's calculate GCF of 3663,4647
| 3 | 3663, 4647 |
| 1221, 1549 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3663,4647 By Matching Biggest Common Factor Method
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Now, list down the factors of 4647
:1,3,1549,4647
Greatest Common Factor
We found the factors 3663,4647 . The biggest common factor number is the GCF number.
So the greatest common factor 3663,4647 is 3.
Lets's calculate LCM of 283,6168
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1745544
Therefore, the GCF of Fractions 3663/283,4647/6168 is 3/1745544
Least Common Multiple of 283,6168 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 283,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,6168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,6168) x common factors =1 x 1 = 1
LCM(283,6168) = ( 283 × 6168 ) / 1
LCM(283,6168) = 1745544 / 1
LCM(283,6168) = 1745544
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FAQs on GCF of Fractions of 3663/283, 4647/6168
1. What is the HCF of 3663,4647?
The HCF of 3663,4647 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 3663/283, 4647/6168?
Answer: GCF of Numerators as per given numbers 3663/283, 4647/6168 is
GCF of Numerators i.e. for 3663,4647 is 3
LCM of denominators i.e. for 283,6168 is 1745544.
Thus, GCF of Fractions is 3/1745544.Finally, GCF of Fractions for 3663/283, 4647/6168 is 3/1745544.