GCF of 8483/819, 3604/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8483/819, 3604/990 i.e 17/90090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8483/819, 3604/990.
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 8483/819,3604/990?
Given fractions are 8483/819,3604/990
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 8483/819,3604/990, numerators are 8483,3604
Denominators are 819,990
The GCF of 8483,3604 is 17 .
LCM of 819,990 is 90090.
The greatest common factor of 8483/819,3604/990 = [GCF of 8483,3604]/[LCM of 819,990]= 17/90090
Therefore, the GCF of 8483/819,3604/990 is 17/90090.
To find the highest common factor of 8483,3604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8483 are 1, 17, 499, 8483
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The HCF of 8483,3604 is 17.
Lets's calculate GCF of 8483,3604
| 17 | 8483, 3604 |
| 499, 212 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8483,3604 By Matching Biggest Common Factor Method
Now, list down the factors of 8483
:1,17,499,8483
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 8483,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 8483,3604 is 17.
Lets's calculate LCM of 819,990
| 3 | 819, 990 |
| 3 | 273, 330 |
| 91, 110 |
∴ So the LCM of the given numbers is 3 x 3 x 91 x 110 = 90090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/90090
Therefore, the GCF of Fractions 8483/819,3604/990 is 17/90090
Least Common Multiple of 819,990 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 819,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,990) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(819,990) x common factors =9 x 1 = 9
LCM(819,990) = ( 819 × 990 ) / 9
LCM(819,990) = 810810 / 9
LCM(819,990) = 90090
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FAQs on GCF of Fractions of 8483/819, 3604/990
1. What is the HCF of 8483,3604?
The HCF of 8483,3604 is 17
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 8483/819, 3604/990?
Answer: GCF of Numerators as per given numbers 8483/819, 3604/990 is
GCF of Numerators i.e. for 8483,3604 is 17
LCM of denominators i.e. for 819,990 is 90090.
Thus, GCF of Fractions is 17/90090.Finally, GCF of Fractions for 8483/819, 3604/990 is 17/90090.