GCF of 9525/192, 4305/7573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9525/192, 4305/7573 i.e 15/1454016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9525/192, 4305/7573.
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 9525/192,4305/7573?
Given fractions are 9525/192,4305/7573
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 9525/192,4305/7573, numerators are 9525,4305
Denominators are 192,7573
The GCF of 9525,4305 is 15 .
LCM of 192,7573 is 1454016.
The greatest common factor of 9525/192,4305/7573 = [GCF of 9525,4305]/[LCM of 192,7573]= 15/1454016
Therefore, the GCF of 9525/192,4305/7573 is 15/1454016.
To find the highest common factor of 9525,4305, we have to find the factors of both numbers and list the highest common factor.
The factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525
The factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305
The HCF of 9525,4305 is 15.
Lets's calculate GCF of 9525,4305
| 3 | 9525, 4305 |
| 5 | 3175, 1435 |
| 635, 287 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9525,4305 By Matching Biggest Common Factor Method
Now, list down the factors of 9525
:1,3,5,15,25,75,127,381,635,1905,3175,9525
Now, list down the factors of 4305
:1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305
Greatest Common Factor
We found the factors 9525,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 9525,4305 is 15.
Lets's calculate LCM of 192,7573
Given numbers has no common factors except 1. So, there LCM is their product i.e 1454016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1454016
Therefore, the GCF of Fractions 9525/192,4305/7573 is 15/1454016
Least Common Multiple of 192,7573 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 192,7573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,7573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,7573) x common factors =1 x 1 = 1
LCM(192,7573) = ( 192 × 7573 ) / 1
LCM(192,7573) = 1454016 / 1
LCM(192,7573) = 1454016
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FAQs on GCF of Fractions of 9525/192, 4305/7573
1. What is the HCF of 9525,4305?
The HCF of 9525,4305 is 15
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 9525/192, 4305/7573?
Answer: GCF of Numerators as per given numbers 9525/192, 4305/7573 is
GCF of Numerators i.e. for 9525,4305 is 15
LCM of denominators i.e. for 192,7573 is 1454016.
Thus, GCF of Fractions is 15/1454016.Finally, GCF of Fractions for 9525/192, 4305/7573 is 15/1454016.