GCF of 6535/347, 9165/1175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6535/347, 9165/1175 i.e 5/407725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6535/347, 9165/1175.
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 6535/347,9165/1175?
Given fractions are 6535/347,9165/1175
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 6535/347,9165/1175, numerators are 6535,9165
Denominators are 347,1175
The GCF of 6535,9165 is 5 .
LCM of 347,1175 is 407725.
The greatest common factor of 6535/347,9165/1175 = [GCF of 6535,9165]/[LCM of 347,1175]= 5/407725
Therefore, the GCF of 6535/347,9165/1175 is 5/407725.
To find the highest common factor of 6535,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 6535 are 1, 5, 1307, 6535
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 6535,9165 is 5.
Lets's calculate GCF of 6535,9165
| 5 | 6535, 9165 |
| 1307, 1833 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6535,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 6535
:1,5,1307,6535
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 6535,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 6535,9165 is 5.
Lets's calculate LCM of 347,1175
Given numbers has no common factors except 1. So, there LCM is their product i.e 407725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/407725
Therefore, the GCF of Fractions 6535/347,9165/1175 is 5/407725
Least Common Multiple of 347,1175 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 347,1175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,1175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,1175) x common factors =1 x 1 = 1
LCM(347,1175) = ( 347 × 1175 ) / 1
LCM(347,1175) = 407725 / 1
LCM(347,1175) = 407725
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FAQs on GCF of Fractions of 6535/347, 9165/1175
1. What is the HCF of 6535,9165?
The HCF of 6535,9165 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 6535/347, 9165/1175?
Answer: GCF of Numerators as per given numbers 6535/347, 9165/1175 is
GCF of Numerators i.e. for 6535,9165 is 5
LCM of denominators i.e. for 347,1175 is 407725.
Thus, GCF of Fractions is 5/407725.Finally, GCF of Fractions for 6535/347, 9165/1175 is 5/407725.