GCF of 8925/352, 2625/6797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8925/352, 2625/6797 i.e 525/2392544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8925/352, 2625/6797.
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 8925/352,2625/6797?
Given fractions are 8925/352,2625/6797
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 8925/352,2625/6797, numerators are 8925,2625
Denominators are 352,6797
The GCF of 8925,2625 is 525 .
LCM of 352,6797 is 2392544.
The greatest common factor of 8925/352,2625/6797 = [GCF of 8925,2625]/[LCM of 352,6797]= 525/2392544
Therefore, the GCF of 8925/352,2625/6797 is 525/2392544.
To find the highest common factor of 8925,2625, we have to find the factors of both numbers and list the highest common factor.
The factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
The HCF of 8925,2625 is 525.
Lets's calculate GCF of 8925,2625
| 3 | 8925, 2625 |
| 5 | 2975, 875 |
| 5 | 595, 175 |
| 7 | 119, 35 |
| 17, 5 |
∴ So the GCF of the given numbers is 3 x 5 x 5 x 7 = 525
Greatest Common Factor of 8925,2625 By Matching Biggest Common Factor Method
Now, list down the factors of 8925
:1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Now, list down the factors of 2625
:1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Greatest Common Factor
We found the factors 8925,2625 . The biggest common factor number is the GCF number.
So the greatest common factor 8925,2625 is 525.
Lets's calculate LCM of 352,6797
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 525/2392544
Therefore, the GCF of Fractions 8925/352,2625/6797 is 525/2392544
Least Common Multiple of 352,6797 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 352,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,6797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,6797) x common factors =1 x 1 = 1
LCM(352,6797) = ( 352 × 6797 ) / 1
LCM(352,6797) = 2392544 / 1
LCM(352,6797) = 2392544
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FAQs on GCF of Fractions of 8925/352, 2625/6797
1. What is the HCF of 8925,2625?
The HCF of 8925,2625 is 525
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 8925/352, 2625/6797?
Answer: GCF of Numerators as per given numbers 8925/352, 2625/6797 is
GCF of Numerators i.e. for 8925,2625 is 525
LCM of denominators i.e. for 352,6797 is 2392544.
Thus, GCF of Fractions is 525/2392544.Finally, GCF of Fractions for 8925/352, 2625/6797 is 525/2392544.