GCF of 9853/654, 9198/4198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9853/654, 9198/4198 i.e 1/1372746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9853/654, 9198/4198.
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 9853/654,9198/4198?
Given fractions are 9853/654,9198/4198
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 9853/654,9198/4198, numerators are 9853,9198
Denominators are 654,4198
The GCF of 9853,9198 is 1 .
LCM of 654,4198 is 1372746.
The greatest common factor of 9853/654,9198/4198 = [GCF of 9853,9198]/[LCM of 654,4198]= 1/1372746
Therefore, the GCF of 9853/654,9198/4198 is 1/1372746.
To find the highest common factor of 9853,9198, we have to find the factors of both numbers and list the highest common factor.
The factors of 9853 are 1, 59, 167, 9853
The factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198
The HCF of 9853,9198 is 1.
Lets's calculate GCF of 9853,9198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9853,9198 By Matching Biggest Common Factor Method
Now, list down the factors of 9853
:1,59,167,9853
Now, list down the factors of 9198
:1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Greatest Common Factor
We found the factors 9853,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 9853,9198 is 1.
Lets's calculate LCM of 654,4198
| 2 | 654, 4198 |
| 327, 2099 |
∴ So the LCM of the given numbers is 2 x 327 x 2099 = 1372746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1372746
Therefore, the GCF of Fractions 9853/654,9198/4198 is 1/1372746
Least Common Multiple of 654,4198 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 654,4198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,4198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,4198) x common factors =2 x 1 = 2
LCM(654,4198) = ( 654 × 4198 ) / 2
LCM(654,4198) = 2745492 / 2
LCM(654,4198) = 1372746
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FAQs on GCF of Fractions of 9853/654, 9198/4198
1. What is the HCF of 9853,9198?
The HCF of 9853,9198 is 1
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 9853/654, 9198/4198?
Answer: GCF of Numerators as per given numbers 9853/654, 9198/4198 is
GCF of Numerators i.e. for 9853,9198 is 1
LCM of denominators i.e. for 654,4198 is 1372746.
Thus, GCF of Fractions is 1/1372746.Finally, GCF of Fractions for 9853/654, 9198/4198 is 1/1372746.