GCF of 4223/288, 8655/7833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4223/288, 8655/7833 i.e 1/751968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4223/288, 8655/7833.
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 4223/288,8655/7833?
Given fractions are 4223/288,8655/7833
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 4223/288,8655/7833, numerators are 4223,8655
Denominators are 288,7833
The GCF of 4223,8655 is 1 .
LCM of 288,7833 is 751968.
The greatest common factor of 4223/288,8655/7833 = [GCF of 4223,8655]/[LCM of 288,7833]= 1/751968
Therefore, the GCF of 4223/288,8655/7833 is 1/751968.
To find the highest common factor of 4223,8655, we have to find the factors of both numbers and list the highest common factor.
The factors of 4223 are 1, 41, 103, 4223
The factors of 8655 are 1, 3, 5, 15, 577, 1731, 2885, 8655
The HCF of 4223,8655 is 1.
Lets's calculate GCF of 4223,8655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4223,8655 By Matching Biggest Common Factor Method
Now, list down the factors of 4223
:1,41,103,4223
Now, list down the factors of 8655
:1,3,5,15,577,1731,2885,8655
Greatest Common Factor
We found the factors 4223,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 4223,8655 is 1.
Lets's calculate LCM of 288,7833
| 3 | 288, 7833 |
| 96, 2611 |
∴ So the LCM of the given numbers is 3 x 96 x 2611 = 751968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751968
Therefore, the GCF of Fractions 4223/288,8655/7833 is 1/751968
Least Common Multiple of 288,7833 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 288,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,7833) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,7833) x common factors =3 x 1 = 3
LCM(288,7833) = ( 288 × 7833 ) / 3
LCM(288,7833) = 2255904 / 3
LCM(288,7833) = 751968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4223/288, 8655/7833
1. What is the HCF of 4223,8655?
The HCF of 4223,8655 is 1
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 4223/288, 8655/7833?
Answer: GCF of Numerators as per given numbers 4223/288, 8655/7833 is
GCF of Numerators i.e. for 4223,8655 is 1
LCM of denominators i.e. for 288,7833 is 751968.
Thus, GCF of Fractions is 1/751968.Finally, GCF of Fractions for 4223/288, 8655/7833 is 1/751968.