GCF of 819/448, 6818/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 819/448, 6818/916 i.e 7/102592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/448, 6818/916.
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 819/448,6818/916?
Given fractions are 819/448,6818/916
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 819/448,6818/916, numerators are 819,6818
Denominators are 448,916
The GCF of 819,6818 is 7 .
LCM of 448,916 is 102592.
The greatest common factor of 819/448,6818/916 = [GCF of 819,6818]/[LCM of 448,916]= 7/102592
Therefore, the GCF of 819/448,6818/916 is 7/102592.
To find the highest common factor of 819,6818, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818
The HCF of 819,6818 is 7.
Lets's calculate GCF of 819,6818
| 7 | 819, 6818 |
| 117, 974 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 819,6818 By Matching Biggest Common Factor Method
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 6818
:1,2,7,14,487,974,3409,6818
Greatest Common Factor
We found the factors 819,6818 . The biggest common factor number is the GCF number.
So the greatest common factor 819,6818 is 7.
Lets's calculate LCM of 448,916
| 2 | 448, 916 |
| 2 | 224, 458 |
| 112, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 112 x 229 = 102592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/102592
Therefore, the GCF of Fractions 819/448,6818/916 is 7/102592
Least Common Multiple of 448,916 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 448,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(448,916) x common factors =4 x 1 = 4
LCM(448,916) = ( 448 × 916 ) / 4
LCM(448,916) = 410368 / 4
LCM(448,916) = 102592
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FAQs on GCF of Fractions of 819/448, 6818/916
1. What is the HCF of 819,6818?
The HCF of 819,6818 is 7
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 819/448, 6818/916?
Answer: GCF of Numerators as per given numbers 819/448, 6818/916 is
GCF of Numerators i.e. for 819,6818 is 7
LCM of denominators i.e. for 448,916 is 102592.
Thus, GCF of Fractions is 7/102592.Finally, GCF of Fractions for 819/448, 6818/916 is 7/102592.