GCF of 7233/924, 4734/333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7233/924, 4734/333 i.e 3/102564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7233/924, 4734/333.
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 7233/924,4734/333?
Given fractions are 7233/924,4734/333
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 7233/924,4734/333, numerators are 7233,4734
Denominators are 924,333
The GCF of 7233,4734 is 3 .
LCM of 924,333 is 102564.
The greatest common factor of 7233/924,4734/333 = [GCF of 7233,4734]/[LCM of 924,333]= 3/102564
Therefore, the GCF of 7233/924,4734/333 is 3/102564.
To find the highest common factor of 7233,4734, we have to find the factors of both numbers and list the highest common factor.
The factors of 7233 are 1, 3, 2411, 7233
The factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734
The HCF of 7233,4734 is 3.
Lets's calculate GCF of 7233,4734
| 3 | 7233, 4734 |
| 2411, 1578 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7233,4734 By Matching Biggest Common Factor Method
Now, list down the factors of 7233
:1,3,2411,7233
Now, list down the factors of 4734
:1,2,3,6,9,18,263,526,789,1578,2367,4734
Greatest Common Factor
We found the factors 7233,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 7233,4734 is 3.
Lets's calculate LCM of 924,333
| 3 | 924, 333 |
| 308, 111 |
∴ So the LCM of the given numbers is 3 x 308 x 111 = 102564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102564
Therefore, the GCF of Fractions 7233/924,4734/333 is 3/102564
Least Common Multiple of 924,333 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 924,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,333) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,333) x common factors =3 x 1 = 3
LCM(924,333) = ( 924 × 333 ) / 3
LCM(924,333) = 307692 / 3
LCM(924,333) = 102564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7233/924, 4734/333
1. What is the HCF of 7233,4734?
The HCF of 7233,4734 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 7233/924, 4734/333?
Answer: GCF of Numerators as per given numbers 7233/924, 4734/333 is
GCF of Numerators i.e. for 7233,4734 is 3
LCM of denominators i.e. for 924,333 is 102564.
Thus, GCF of Fractions is 3/102564.Finally, GCF of Fractions for 7233/924, 4734/333 is 3/102564.