GCF of 9897/620, 4198/3725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9897/620, 4198/3725 i.e 1/461900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9897/620, 4198/3725.
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 9897/620,4198/3725?
Given fractions are 9897/620,4198/3725
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 9897/620,4198/3725, numerators are 9897,4198
Denominators are 620,3725
The GCF of 9897,4198 is 1 .
LCM of 620,3725 is 461900.
The greatest common factor of 9897/620,4198/3725 = [GCF of 9897,4198]/[LCM of 620,3725]= 1/461900
Therefore, the GCF of 9897/620,4198/3725 is 1/461900.
To find the highest common factor of 9897,4198, we have to find the factors of both numbers and list the highest common factor.
The factors of 9897 are 1, 3, 3299, 9897
The factors of 4198 are 1, 2, 2099, 4198
The HCF of 9897,4198 is 1.
Lets's calculate GCF of 9897,4198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9897,4198 By Matching Biggest Common Factor Method
Now, list down the factors of 9897
:1,3,3299,9897
Now, list down the factors of 4198
:1,2,2099,4198
Greatest Common Factor
We found the factors 9897,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 9897,4198 is 1.
Lets's calculate LCM of 620,3725
| 5 | 620, 3725 |
| 124, 745 |
∴ So the LCM of the given numbers is 5 x 124 x 745 = 461900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461900
Therefore, the GCF of Fractions 9897/620,4198/3725 is 1/461900
Least Common Multiple of 620,3725 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 620,3725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,3725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(620,3725) x common factors =5 x 1 = 5
LCM(620,3725) = ( 620 × 3725 ) / 5
LCM(620,3725) = 2309500 / 5
LCM(620,3725) = 461900
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FAQs on GCF of Fractions of 9897/620, 4198/3725
1. What is the HCF of 9897,4198?
The HCF of 9897,4198 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 9897/620, 4198/3725?
Answer: GCF of Numerators as per given numbers 9897/620, 4198/3725 is
GCF of Numerators i.e. for 9897,4198 is 1
LCM of denominators i.e. for 620,3725 is 461900.
Thus, GCF of Fractions is 1/461900.Finally, GCF of Fractions for 9897/620, 4198/3725 is 1/461900.