GCF of 4239/304, 8226/5704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4239/304, 8226/5704 i.e 9/216752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4239/304, 8226/5704.
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 4239/304,8226/5704?
Given fractions are 4239/304,8226/5704
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 4239/304,8226/5704, numerators are 4239,8226
Denominators are 304,5704
The GCF of 4239,8226 is 9 .
LCM of 304,5704 is 216752.
The greatest common factor of 4239/304,8226/5704 = [GCF of 4239,8226]/[LCM of 304,5704]= 9/216752
Therefore, the GCF of 4239/304,8226/5704 is 9/216752.
To find the highest common factor of 4239,8226, we have to find the factors of both numbers and list the highest common factor.
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The HCF of 4239,8226 is 9.
Lets's calculate GCF of 4239,8226
| 3 | 4239, 8226 |
| 3 | 1413, 2742 |
| 471, 914 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4239,8226 By Matching Biggest Common Factor Method
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 4239,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 4239,8226 is 9.
Lets's calculate LCM of 304,5704
| 2 | 304, 5704 |
| 2 | 152, 2852 |
| 2 | 76, 1426 |
| 38, 713 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 713 = 216752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/216752
Therefore, the GCF of Fractions 4239/304,8226/5704 is 9/216752
Least Common Multiple of 304,5704 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 304,5704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5704) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5704) x common factors =8 x 1 = 8
LCM(304,5704) = ( 304 × 5704 ) / 8
LCM(304,5704) = 1734016 / 8
LCM(304,5704) = 216752
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FAQs on GCF of Fractions of 4239/304, 8226/5704
1. What is the HCF of 4239,8226?
The HCF of 4239,8226 is 9
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 4239/304, 8226/5704?
Answer: GCF of Numerators as per given numbers 4239/304, 8226/5704 is
GCF of Numerators i.e. for 4239,8226 is 9
LCM of denominators i.e. for 304,5704 is 216752.
Thus, GCF of Fractions is 9/216752.Finally, GCF of Fractions for 4239/304, 8226/5704 is 9/216752.