GCF of 7486/192, 4509/2350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7486/192, 4509/2350 i.e 1/225600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7486/192, 4509/2350.
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 7486/192,4509/2350?
Given fractions are 7486/192,4509/2350
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 7486/192,4509/2350, numerators are 7486,4509
Denominators are 192,2350
The GCF of 7486,4509 is 1 .
LCM of 192,2350 is 225600.
The greatest common factor of 7486/192,4509/2350 = [GCF of 7486,4509]/[LCM of 192,2350]= 1/225600
Therefore, the GCF of 7486/192,4509/2350 is 1/225600.
To find the highest common factor of 7486,4509, we have to find the factors of both numbers and list the highest common factor.
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The HCF of 7486,4509 is 1.
Lets's calculate GCF of 7486,4509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7486,4509 By Matching Biggest Common Factor Method
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 7486,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 7486,4509 is 1.
Lets's calculate LCM of 192,2350
| 2 | 192, 2350 |
| 96, 1175 |
∴ So the LCM of the given numbers is 2 x 96 x 1175 = 225600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225600
Therefore, the GCF of Fractions 7486/192,4509/2350 is 1/225600
Least Common Multiple of 192,2350 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 192,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,2350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(192,2350) x common factors =2 x 1 = 2
LCM(192,2350) = ( 192 × 2350 ) / 2
LCM(192,2350) = 451200 / 2
LCM(192,2350) = 225600
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FAQs on GCF of Fractions of 7486/192, 4509/2350
1. What is the HCF of 7486,4509?
The HCF of 7486,4509 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 7486/192, 4509/2350?
Answer: GCF of Numerators as per given numbers 7486/192, 4509/2350 is
GCF of Numerators i.e. for 7486,4509 is 1
LCM of denominators i.e. for 192,2350 is 225600.
Thus, GCF of Fractions is 1/225600.Finally, GCF of Fractions for 7486/192, 4509/2350 is 1/225600.