GCF of 7235/613, 3555/3405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7235/613, 3555/3405 i.e 5/2087265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7235/613, 3555/3405.
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 7235/613,3555/3405?
Given fractions are 7235/613,3555/3405
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 7235/613,3555/3405, numerators are 7235,3555
Denominators are 613,3405
The GCF of 7235,3555 is 5 .
LCM of 613,3405 is 2087265.
The greatest common factor of 7235/613,3555/3405 = [GCF of 7235,3555]/[LCM of 613,3405]= 5/2087265
Therefore, the GCF of 7235/613,3555/3405 is 5/2087265.
To find the highest common factor of 7235,3555, we have to find the factors of both numbers and list the highest common factor.
The factors of 7235 are 1, 5, 1447, 7235
The factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555
The HCF of 7235,3555 is 5.
Lets's calculate GCF of 7235,3555
| 5 | 7235, 3555 |
| 1447, 711 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7235,3555 By Matching Biggest Common Factor Method
Now, list down the factors of 7235
:1,5,1447,7235
Now, list down the factors of 3555
:1,3,5,9,15,45,79,237,395,711,1185,3555
Greatest Common Factor
We found the factors 7235,3555 . The biggest common factor number is the GCF number.
So the greatest common factor 7235,3555 is 5.
Lets's calculate LCM of 613,3405
Given numbers has no common factors except 1. So, there LCM is their product i.e 2087265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2087265
Therefore, the GCF of Fractions 7235/613,3555/3405 is 5/2087265
Least Common Multiple of 613,3405 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 613,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,3405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,3405) x common factors =1 x 1 = 1
LCM(613,3405) = ( 613 × 3405 ) / 1
LCM(613,3405) = 2087265 / 1
LCM(613,3405) = 2087265
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FAQs on GCF of Fractions of 7235/613, 3555/3405
1. What is the HCF of 7235,3555?
The HCF of 7235,3555 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 7235/613, 3555/3405?
Answer: GCF of Numerators as per given numbers 7235/613, 3555/3405 is
GCF of Numerators i.e. for 7235,3555 is 5
LCM of denominators i.e. for 613,3405 is 2087265.
Thus, GCF of Fractions is 5/2087265.Finally, GCF of Fractions for 7235/613, 3555/3405 is 5/2087265.