GCF of 9198/605, 1205/3955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9198/605, 1205/3955 i.e 1/478555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9198/605, 1205/3955.
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 9198/605,1205/3955?
Given fractions are 9198/605,1205/3955
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 9198/605,1205/3955, numerators are 9198,1205
Denominators are 605,3955
The GCF of 9198,1205 is 1 .
LCM of 605,3955 is 478555.
The greatest common factor of 9198/605,1205/3955 = [GCF of 9198,1205]/[LCM of 605,3955]= 1/478555
Therefore, the GCF of 9198/605,1205/3955 is 1/478555.
To find the highest common factor of 9198,1205, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1205 are 1, 5, 241, 1205
The HCF of 9198,1205 is 1.
Lets's calculate GCF of 9198,1205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9198,1205 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1205
:1,5,241,1205
Greatest Common Factor
We found the factors 9198,1205 . The biggest common factor number is the GCF number.
So the greatest common factor 9198,1205 is 1.
Lets's calculate LCM of 605,3955
| 5 | 605, 3955 |
| 121, 791 |
∴ So the LCM of the given numbers is 5 x 121 x 791 = 478555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478555
Therefore, the GCF of Fractions 9198/605,1205/3955 is 1/478555
Least Common Multiple of 605,3955 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 605,3955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,3955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,3955) x common factors =5 x 1 = 5
LCM(605,3955) = ( 605 × 3955 ) / 5
LCM(605,3955) = 2392775 / 5
LCM(605,3955) = 478555
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FAQs on GCF of Fractions of 9198/605, 1205/3955
1. What is the HCF of 9198,1205?
The HCF of 9198,1205 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 9198/605, 1205/3955?
Answer: GCF of Numerators as per given numbers 9198/605, 1205/3955 is
GCF of Numerators i.e. for 9198,1205 is 1
LCM of denominators i.e. for 605,3955 is 478555.
Thus, GCF of Fractions is 1/478555.Finally, GCF of Fractions for 9198/605, 1205/3955 is 1/478555.