GCF of 4233/343, 5466/6600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4233/343, 5466/6600 i.e 3/2263800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4233/343, 5466/6600.
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 4233/343,5466/6600?
Given fractions are 4233/343,5466/6600
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 4233/343,5466/6600, numerators are 4233,5466
Denominators are 343,6600
The GCF of 4233,5466 is 3 .
LCM of 343,6600 is 2263800.
The greatest common factor of 4233/343,5466/6600 = [GCF of 4233,5466]/[LCM of 343,6600]= 3/2263800
Therefore, the GCF of 4233/343,5466/6600 is 3/2263800.
To find the highest common factor of 4233,5466, we have to find the factors of both numbers and list the highest common factor.
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466
The HCF of 4233,5466 is 3.
Lets's calculate GCF of 4233,5466
| 3 | 4233, 5466 |
| 1411, 1822 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4233,5466 By Matching Biggest Common Factor Method
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Now, list down the factors of 5466
:1,2,3,6,911,1822,2733,5466
Greatest Common Factor
We found the factors 4233,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 4233,5466 is 3.
Lets's calculate LCM of 343,6600
Given numbers has no common factors except 1. So, there LCM is their product i.e 2263800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2263800
Therefore, the GCF of Fractions 4233/343,5466/6600 is 3/2263800
Least Common Multiple of 343,6600 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 343,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,6600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,6600) x common factors =1 x 1 = 1
LCM(343,6600) = ( 343 × 6600 ) / 1
LCM(343,6600) = 2263800 / 1
LCM(343,6600) = 2263800
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FAQs on GCF of Fractions of 4233/343, 5466/6600
1. What is the HCF of 4233,5466?
The HCF of 4233,5466 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 4233/343, 5466/6600?
Answer: GCF of Numerators as per given numbers 4233/343, 5466/6600 is
GCF of Numerators i.e. for 4233,5466 is 3
LCM of denominators i.e. for 343,6600 is 2263800.
Thus, GCF of Fractions is 3/2263800.Finally, GCF of Fractions for 4233/343, 5466/6600 is 3/2263800.