GCF of 3387/498, 1578/4443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3387/498, 1578/4443 i.e 3/737538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3387/498, 1578/4443.
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 3387/498,1578/4443?
Given fractions are 3387/498,1578/4443
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 3387/498,1578/4443, numerators are 3387,1578
Denominators are 498,4443
The GCF of 3387,1578 is 3 .
LCM of 498,4443 is 737538.
The greatest common factor of 3387/498,1578/4443 = [GCF of 3387,1578]/[LCM of 498,4443]= 3/737538
Therefore, the GCF of 3387/498,1578/4443 is 3/737538.
To find the highest common factor of 3387,1578, we have to find the factors of both numbers and list the highest common factor.
The factors of 3387 are 1, 3, 1129, 3387
The factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578
The HCF of 3387,1578 is 3.
Lets's calculate GCF of 3387,1578
| 3 | 3387, 1578 |
| 1129, 526 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3387,1578 By Matching Biggest Common Factor Method
Now, list down the factors of 3387
:1,3,1129,3387
Now, list down the factors of 1578
:1,2,3,6,263,526,789,1578
Greatest Common Factor
We found the factors 3387,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 3387,1578 is 3.
Lets's calculate LCM of 498,4443
| 3 | 498, 4443 |
| 166, 1481 |
∴ So the LCM of the given numbers is 3 x 166 x 1481 = 737538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/737538
Therefore, the GCF of Fractions 3387/498,1578/4443 is 3/737538
Least Common Multiple of 498,4443 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 498,4443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,4443) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,4443) x common factors =3 x 1 = 3
LCM(498,4443) = ( 498 × 4443 ) / 3
LCM(498,4443) = 2212614 / 3
LCM(498,4443) = 737538
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FAQs on GCF of Fractions of 3387/498, 1578/4443
1. What is the HCF of 3387,1578?
The HCF of 3387,1578 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 3387/498, 1578/4443?
Answer: GCF of Numerators as per given numbers 3387/498, 1578/4443 is
GCF of Numerators i.e. for 3387,1578 is 3
LCM of denominators i.e. for 498,4443 is 737538.
Thus, GCF of Fractions is 3/737538.Finally, GCF of Fractions for 3387/498, 1578/4443 is 3/737538.