GCF of 348/819, 816/308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/819, 816/308 i.e 12/36036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/819, 816/308.
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 348/819,816/308?
Given fractions are 348/819,816/308
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 348/819,816/308, numerators are 348,816
Denominators are 819,308
The GCF of 348,816 is 12 .
LCM of 819,308 is 36036.
The greatest common factor of 348/819,816/308 = [GCF of 348,816]/[LCM of 819,308]= 12/36036
Therefore, the GCF of 348/819,816/308 is 12/36036.
To find the highest common factor of 348,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The HCF of 348,816 is 12.
Lets's calculate GCF of 348,816
| 2 | 348, 816 |
| 2 | 174, 408 |
| 3 | 87, 204 |
| 29, 68 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 348,816 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 348,816 . The biggest common factor number is the GCF number.
So the greatest common factor 348,816 is 12.
Lets's calculate LCM of 819,308
| 7 | 819, 308 |
| 117, 44 |
∴ So the LCM of the given numbers is 7 x 117 x 44 = 36036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/36036
Therefore, the GCF of Fractions 348/819,816/308 is 12/36036
Least Common Multiple of 819,308 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 819,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,308) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(819,308) x common factors =7 x 1 = 7
LCM(819,308) = ( 819 × 308 ) / 7
LCM(819,308) = 252252 / 7
LCM(819,308) = 36036
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FAQs on GCF of Fractions of 348/819, 816/308
1. What is the HCF of 348,816?
The HCF of 348,816 is 12
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 348/819, 816/308?
Answer: GCF of Numerators as per given numbers 348/819, 816/308 is
GCF of Numerators i.e. for 348,816 is 12
LCM of denominators i.e. for 819,308 is 36036.
Thus, GCF of Fractions is 12/36036.Finally, GCF of Fractions for 348/819, 816/308 is 12/36036.