GCF of 9225/875, 9500/6743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9225/875, 9500/6743 i.e 25/5900125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9225/875, 9500/6743.
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 9225/875,9500/6743?
Given fractions are 9225/875,9500/6743
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 9225/875,9500/6743, numerators are 9225,9500
Denominators are 875,6743
The GCF of 9225,9500 is 25 .
LCM of 875,6743 is 5900125.
The greatest common factor of 9225/875,9500/6743 = [GCF of 9225,9500]/[LCM of 875,6743]= 25/5900125
Therefore, the GCF of 9225/875,9500/6743 is 25/5900125.
To find the highest common factor of 9225,9500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The factors of 9500 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500
The HCF of 9225,9500 is 25.
Lets's calculate GCF of 9225,9500
| 5 | 9225, 9500 |
| 5 | 1845, 1900 |
| 369, 380 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9225,9500 By Matching Biggest Common Factor Method
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Now, list down the factors of 9500
:1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 9225,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 9225,9500 is 25.
Lets's calculate LCM of 875,6743
Given numbers has no common factors except 1. So, there LCM is their product i.e 5900125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/5900125
Therefore, the GCF of Fractions 9225/875,9500/6743 is 25/5900125
Least Common Multiple of 875,6743 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 875,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,6743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,6743) x common factors =1 x 1 = 1
LCM(875,6743) = ( 875 × 6743 ) / 1
LCM(875,6743) = 5900125 / 1
LCM(875,6743) = 5900125
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FAQs on GCF of Fractions of 9225/875, 9500/6743
1. What is the HCF of 9225,9500?
The HCF of 9225,9500 is 25
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 9225/875, 9500/6743?
Answer: GCF of Numerators as per given numbers 9225/875, 9500/6743 is
GCF of Numerators i.e. for 9225,9500 is 25
LCM of denominators i.e. for 875,6743 is 5900125.
Thus, GCF of Fractions is 25/5900125.Finally, GCF of Fractions for 9225/875, 9500/6743 is 25/5900125.