GCF of 7301/414, 4513/1990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7301/414, 4513/1990 i.e 1/411930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7301/414, 4513/1990.
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 7301/414,4513/1990?
Given fractions are 7301/414,4513/1990
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 7301/414,4513/1990, numerators are 7301,4513
Denominators are 414,1990
The GCF of 7301,4513 is 1 .
LCM of 414,1990 is 411930.
The greatest common factor of 7301/414,4513/1990 = [GCF of 7301,4513]/[LCM of 414,1990]= 1/411930
Therefore, the GCF of 7301/414,4513/1990 is 1/411930.
To find the highest common factor of 7301,4513, we have to find the factors of both numbers and list the highest common factor.
The factors of 7301 are 1, 7, 49, 149, 1043, 7301
The factors of 4513 are 1, 4513
The HCF of 7301,4513 is 1.
Lets's calculate GCF of 7301,4513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7301,4513 By Matching Biggest Common Factor Method
Now, list down the factors of 7301
:1,7,49,149,1043,7301
Now, list down the factors of 4513
:1,4513
Greatest Common Factor
We found the factors 7301,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,4513 is 1.
Lets's calculate LCM of 414,1990
| 2 | 414, 1990 |
| 207, 995 |
∴ So the LCM of the given numbers is 2 x 207 x 995 = 411930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411930
Therefore, the GCF of Fractions 7301/414,4513/1990 is 1/411930
Least Common Multiple of 414,1990 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 414,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,1990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,1990) x common factors =2 x 1 = 2
LCM(414,1990) = ( 414 × 1990 ) / 2
LCM(414,1990) = 823860 / 2
LCM(414,1990) = 411930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7301/414, 4513/1990
1. What is the HCF of 7301,4513?
The HCF of 7301,4513 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 7301/414, 4513/1990?
Answer: GCF of Numerators as per given numbers 7301/414, 4513/1990 is
GCF of Numerators i.e. for 7301,4513 is 1
LCM of denominators i.e. for 414,1990 is 411930.
Thus, GCF of Fractions is 1/411930.Finally, GCF of Fractions for 7301/414, 4513/1990 is 1/411930.