GCF of 3535/159, 6165/8222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3535/159, 6165/8222 i.e 5/1307298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3535/159, 6165/8222.
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 3535/159,6165/8222?
Given fractions are 3535/159,6165/8222
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 3535/159,6165/8222, numerators are 3535,6165
Denominators are 159,8222
The GCF of 3535,6165 is 5 .
LCM of 159,8222 is 1307298.
The greatest common factor of 3535/159,6165/8222 = [GCF of 3535,6165]/[LCM of 159,8222]= 5/1307298
Therefore, the GCF of 3535/159,6165/8222 is 5/1307298.
To find the highest common factor of 3535,6165, we have to find the factors of both numbers and list the highest common factor.
The factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The HCF of 3535,6165 is 5.
Lets's calculate GCF of 3535,6165
| 5 | 3535, 6165 |
| 707, 1233 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3535,6165 By Matching Biggest Common Factor Method
Now, list down the factors of 3535
:1,5,7,35,101,505,707,3535
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 3535,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,6165 is 5.
Lets's calculate LCM of 159,8222
Given numbers has no common factors except 1. So, there LCM is their product i.e 1307298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1307298
Therefore, the GCF of Fractions 3535/159,6165/8222 is 5/1307298
Least Common Multiple of 159,8222 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 159,8222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8222) x common factors =1 x 1 = 1
LCM(159,8222) = ( 159 × 8222 ) / 1
LCM(159,8222) = 1307298 / 1
LCM(159,8222) = 1307298
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FAQs on GCF of Fractions of 3535/159, 6165/8222
1. What is the HCF of 3535,6165?
The HCF of 3535,6165 is 5
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 3535/159, 6165/8222?
Answer: GCF of Numerators as per given numbers 3535/159, 6165/8222 is
GCF of Numerators i.e. for 3535,6165 is 5
LCM of denominators i.e. for 159,8222 is 1307298.
Thus, GCF of Fractions is 5/1307298.Finally, GCF of Fractions for 3535/159, 6165/8222 is 5/1307298.