GCF of 4850/819, 8148/1869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4850/819, 8148/1869 i.e 194/72891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4850/819, 8148/1869.
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 4850/819,8148/1869?
Given fractions are 4850/819,8148/1869
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 4850/819,8148/1869, numerators are 4850,8148
Denominators are 819,1869
The GCF of 4850,8148 is 194 .
LCM of 819,1869 is 72891.
The greatest common factor of 4850/819,8148/1869 = [GCF of 4850,8148]/[LCM of 819,1869]= 194/72891
Therefore, the GCF of 4850/819,8148/1869 is 194/72891.
To find the highest common factor of 4850,8148, we have to find the factors of both numbers and list the highest common factor.
The factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850
The factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148
The HCF of 4850,8148 is 194.
Lets's calculate GCF of 4850,8148
| 2 | 4850, 8148 |
| 97 | 2425, 4074 |
| 25, 42 |
∴ So the GCF of the given numbers is 2 x 97 = 194
Greatest Common Factor of 4850,8148 By Matching Biggest Common Factor Method
Now, list down the factors of 4850
:1,2,5,10,25,50,97,194,485,970,2425,4850
Now, list down the factors of 8148
:1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors 4850,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,8148 is 194.
Lets's calculate LCM of 819,1869
| 3 | 819, 1869 |
| 7 | 273, 623 |
| 39, 89 |
∴ So the LCM of the given numbers is 3 x 7 x 39 x 89 = 72891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 194/72891
Therefore, the GCF of Fractions 4850/819,8148/1869 is 194/72891
Least Common Multiple of 819,1869 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 819,1869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,1869) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(819,1869) x common factors =21 x 1 = 21
LCM(819,1869) = ( 819 × 1869 ) / 21
LCM(819,1869) = 1530711 / 21
LCM(819,1869) = 72891
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FAQs on GCF of Fractions of 4850/819, 8148/1869
1. What is the HCF of 4850,8148?
The HCF of 4850,8148 is 194
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 4850/819, 8148/1869?
Answer: GCF of Numerators as per given numbers 4850/819, 8148/1869 is
GCF of Numerators i.e. for 4850,8148 is 194
LCM of denominators i.e. for 819,1869 is 72891.
Thus, GCF of Fractions is 194/72891.Finally, GCF of Fractions for 4850/819, 8148/1869 is 194/72891.