GCF of 7330/414, 7855/4096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7330/414, 7855/4096 i.e 5/847872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7330/414, 7855/4096.
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 7330/414,7855/4096?
Given fractions are 7330/414,7855/4096
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 7330/414,7855/4096, numerators are 7330,7855
Denominators are 414,4096
The GCF of 7330,7855 is 5 .
LCM of 414,4096 is 847872.
The greatest common factor of 7330/414,7855/4096 = [GCF of 7330,7855]/[LCM of 414,4096]= 5/847872
Therefore, the GCF of 7330/414,7855/4096 is 5/847872.
To find the highest common factor of 7330,7855, we have to find the factors of both numbers and list the highest common factor.
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The factors of 7855 are 1, 5, 1571, 7855
The HCF of 7330,7855 is 5.
Lets's calculate GCF of 7330,7855
| 5 | 7330, 7855 |
| 1466, 1571 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7330,7855 By Matching Biggest Common Factor Method
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Now, list down the factors of 7855
:1,5,1571,7855
Greatest Common Factor
We found the factors 7330,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,7855 is 5.
Lets's calculate LCM of 414,4096
| 2 | 414, 4096 |
| 207, 2048 |
∴ So the LCM of the given numbers is 2 x 207 x 2048 = 847872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/847872
Therefore, the GCF of Fractions 7330/414,7855/4096 is 5/847872
Least Common Multiple of 414,4096 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 414,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,4096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,4096) x common factors =2 x 1 = 2
LCM(414,4096) = ( 414 × 4096 ) / 2
LCM(414,4096) = 1695744 / 2
LCM(414,4096) = 847872
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FAQs on GCF of Fractions of 7330/414, 7855/4096
1. What is the HCF of 7330,7855?
The HCF of 7330,7855 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 7330/414, 7855/4096?
Answer: GCF of Numerators as per given numbers 7330/414, 7855/4096 is
GCF of Numerators i.e. for 7330,7855 is 5
LCM of denominators i.e. for 414,4096 is 847872.
Thus, GCF of Fractions is 5/847872.Finally, GCF of Fractions for 7330/414, 7855/4096 is 5/847872.