GCF of 5625/140, 4131/7289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5625/140, 4131/7289 i.e 9/1020460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5625/140, 4131/7289.
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 5625/140,4131/7289?
Given fractions are 5625/140,4131/7289
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 5625/140,4131/7289, numerators are 5625,4131
Denominators are 140,7289
The GCF of 5625,4131 is 9 .
LCM of 140,7289 is 1020460.
The greatest common factor of 5625/140,4131/7289 = [GCF of 5625,4131]/[LCM of 140,7289]= 9/1020460
Therefore, the GCF of 5625/140,4131/7289 is 9/1020460.
To find the highest common factor of 5625,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 5625,4131 is 9.
Lets's calculate GCF of 5625,4131
| 3 | 5625, 4131 |
| 3 | 1875, 1377 |
| 625, 459 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5625,4131 By Matching Biggest Common Factor Method
Now, list down the factors of 5625
:1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 5625,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 5625,4131 is 9.
Lets's calculate LCM of 140,7289
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1020460
Therefore, the GCF of Fractions 5625/140,4131/7289 is 9/1020460
Least Common Multiple of 140,7289 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 140,7289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,7289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,7289) x common factors =1 x 1 = 1
LCM(140,7289) = ( 140 × 7289 ) / 1
LCM(140,7289) = 1020460 / 1
LCM(140,7289) = 1020460
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FAQs on GCF of Fractions of 5625/140, 4131/7289
1. What is the HCF of 5625,4131?
The HCF of 5625,4131 is 9
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 5625/140, 4131/7289?
Answer: GCF of Numerators as per given numbers 5625/140, 4131/7289 is
GCF of Numerators i.e. for 5625,4131 is 9
LCM of denominators i.e. for 140,7289 is 1020460.
Thus, GCF of Fractions is 9/1020460.Finally, GCF of Fractions for 5625/140, 4131/7289 is 9/1020460.