GCF of 4458/243, 6945/9573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4458/243, 6945/9573 i.e 3/775413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4458/243, 6945/9573.
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 4458/243,6945/9573?
Given fractions are 4458/243,6945/9573
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 4458/243,6945/9573, numerators are 4458,6945
Denominators are 243,9573
The GCF of 4458,6945 is 3 .
LCM of 243,9573 is 775413.
The greatest common factor of 4458/243,6945/9573 = [GCF of 4458,6945]/[LCM of 243,9573]= 3/775413
Therefore, the GCF of 4458/243,6945/9573 is 3/775413.
To find the highest common factor of 4458,6945, we have to find the factors of both numbers and list the highest common factor.
The factors of 4458 are 1, 2, 3, 6, 743, 1486, 2229, 4458
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The HCF of 4458,6945 is 3.
Lets's calculate GCF of 4458,6945
| 3 | 4458, 6945 |
| 1486, 2315 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4458,6945 By Matching Biggest Common Factor Method
Now, list down the factors of 4458
:1,2,3,6,743,1486,2229,4458
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 4458,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 4458,6945 is 3.
Lets's calculate LCM of 243,9573
| 3 | 243, 9573 |
| 81, 3191 |
∴ So the LCM of the given numbers is 3 x 81 x 3191 = 775413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/775413
Therefore, the GCF of Fractions 4458/243,6945/9573 is 3/775413
Least Common Multiple of 243,9573 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 243,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,9573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,9573) x common factors =3 x 1 = 3
LCM(243,9573) = ( 243 × 9573 ) / 3
LCM(243,9573) = 2326239 / 3
LCM(243,9573) = 775413
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FAQs on GCF of Fractions of 4458/243, 6945/9573
1. What is the HCF of 4458,6945?
The HCF of 4458,6945 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 4458/243, 6945/9573?
Answer: GCF of Numerators as per given numbers 4458/243, 6945/9573 is
GCF of Numerators i.e. for 4458,6945 is 3
LCM of denominators i.e. for 243,9573 is 775413.
Thus, GCF of Fractions is 3/775413.Finally, GCF of Fractions for 4458/243, 6945/9573 is 3/775413.