GCF of 8388/175, 8816/3665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8388/175, 8816/3665 i.e 4/128275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8388/175, 8816/3665.
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 8388/175,8816/3665?
Given fractions are 8388/175,8816/3665
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 8388/175,8816/3665, numerators are 8388,8816
Denominators are 175,3665
The GCF of 8388,8816 is 4 .
LCM of 175,3665 is 128275.
The greatest common factor of 8388/175,8816/3665 = [GCF of 8388,8816]/[LCM of 175,3665]= 4/128275
Therefore, the GCF of 8388/175,8816/3665 is 4/128275.
To find the highest common factor of 8388,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 8388,8816 is 4.
Lets's calculate GCF of 8388,8816
| 2 | 8388, 8816 |
| 2 | 4194, 4408 |
| 2097, 2204 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8388,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 8388
:1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 8388,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 8388,8816 is 4.
Lets's calculate LCM of 175,3665
| 5 | 175, 3665 |
| 35, 733 |
∴ So the LCM of the given numbers is 5 x 35 x 733 = 128275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/128275
Therefore, the GCF of Fractions 8388/175,8816/3665 is 4/128275
Least Common Multiple of 175,3665 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 175,3665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,3665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(175,3665) x common factors =5 x 1 = 5
LCM(175,3665) = ( 175 × 3665 ) / 5
LCM(175,3665) = 641375 / 5
LCM(175,3665) = 128275
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FAQs on GCF of Fractions of 8388/175, 8816/3665
1. What is the HCF of 8388,8816?
The HCF of 8388,8816 is 4
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 8388/175, 8816/3665?
Answer: GCF of Numerators as per given numbers 8388/175, 8816/3665 is
GCF of Numerators i.e. for 8388,8816 is 4
LCM of denominators i.e. for 175,3665 is 128275.
Thus, GCF of Fractions is 4/128275.Finally, GCF of Fractions for 8388/175, 8816/3665 is 4/128275.