GCF of 8098/198, 9810/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8098/198, 9810/444 i.e 2/14652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8098/198, 9810/444.
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 8098/198,9810/444?
Given fractions are 8098/198,9810/444
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 8098/198,9810/444, numerators are 8098,9810
Denominators are 198,444
The GCF of 8098,9810 is 2 .
LCM of 198,444 is 14652.
The greatest common factor of 8098/198,9810/444 = [GCF of 8098,9810]/[LCM of 198,444]= 2/14652
Therefore, the GCF of 8098/198,9810/444 is 2/14652.
To find the highest common factor of 8098,9810, we have to find the factors of both numbers and list the highest common factor.
The factors of 8098 are 1, 2, 4049, 8098
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The HCF of 8098,9810 is 2.
Lets's calculate GCF of 8098,9810
| 2 | 8098, 9810 |
| 4049, 4905 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8098,9810 By Matching Biggest Common Factor Method
Now, list down the factors of 8098
:1,2,4049,8098
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Greatest Common Factor
We found the factors 8098,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 8098,9810 is 2.
Lets's calculate LCM of 198,444
| 2 | 198, 444 |
| 3 | 99, 222 |
| 33, 74 |
∴ So the LCM of the given numbers is 2 x 3 x 33 x 74 = 14652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14652
Therefore, the GCF of Fractions 8098/198,9810/444 is 2/14652
Least Common Multiple of 198,444 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 198,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,444) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(198,444) x common factors =6 x 1 = 6
LCM(198,444) = ( 198 × 444 ) / 6
LCM(198,444) = 87912 / 6
LCM(198,444) = 14652
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FAQs on GCF of Fractions of 8098/198, 9810/444
1. What is the HCF of 8098,9810?
The HCF of 8098,9810 is 2
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 8098/198, 9810/444?
Answer: GCF of Numerators as per given numbers 8098/198, 9810/444 is
GCF of Numerators i.e. for 8098,9810 is 2
LCM of denominators i.e. for 198,444 is 14652.
Thus, GCF of Fractions is 2/14652.Finally, GCF of Fractions for 8098/198, 9810/444 is 2/14652.