GCF of 4451/192, 8329/5314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4451/192, 8329/5314 i.e 1/510144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4451/192, 8329/5314.
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 4451/192,8329/5314?
Given fractions are 4451/192,8329/5314
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 4451/192,8329/5314, numerators are 4451,8329
Denominators are 192,5314
The GCF of 4451,8329 is 1 .
LCM of 192,5314 is 510144.
The greatest common factor of 4451/192,8329/5314 = [GCF of 4451,8329]/[LCM of 192,5314]= 1/510144
Therefore, the GCF of 4451/192,8329/5314 is 1/510144.
To find the highest common factor of 4451,8329, we have to find the factors of both numbers and list the highest common factor.
The factors of 4451 are 1, 4451
The factors of 8329 are 1, 8329
The HCF of 4451,8329 is 1.
Lets's calculate GCF of 4451,8329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4451,8329 By Matching Biggest Common Factor Method
Now, list down the factors of 4451
:1,4451
Now, list down the factors of 8329
:1,8329
Greatest Common Factor
We found the factors 4451,8329 . The biggest common factor number is the GCF number.
So the greatest common factor 4451,8329 is 1.
Lets's calculate LCM of 192,5314
| 2 | 192, 5314 |
| 96, 2657 |
∴ So the LCM of the given numbers is 2 x 96 x 2657 = 510144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510144
Therefore, the GCF of Fractions 4451/192,8329/5314 is 1/510144
Least Common Multiple of 192,5314 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 192,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,5314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,5314) x common factors =2 x 1 = 2
LCM(192,5314) = ( 192 × 5314 ) / 2
LCM(192,5314) = 1020288 / 2
LCM(192,5314) = 510144
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FAQs on GCF of Fractions of 4451/192, 8329/5314
1. What is the HCF of 4451,8329?
The HCF of 4451,8329 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 4451/192, 8329/5314?
Answer: GCF of Numerators as per given numbers 4451/192, 8329/5314 is
GCF of Numerators i.e. for 4451,8329 is 1
LCM of denominators i.e. for 192,5314 is 510144.
Thus, GCF of Fractions is 1/510144.Finally, GCF of Fractions for 4451/192, 8329/5314 is 1/510144.