GCF of 4125/897, 4329/5163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4125/897, 4329/5163 i.e 3/1543737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4125/897, 4329/5163.
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 4125/897,4329/5163?
Given fractions are 4125/897,4329/5163
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 4125/897,4329/5163, numerators are 4125,4329
Denominators are 897,5163
The GCF of 4125,4329 is 3 .
LCM of 897,5163 is 1543737.
The greatest common factor of 4125/897,4329/5163 = [GCF of 4125,4329]/[LCM of 897,5163]= 3/1543737
Therefore, the GCF of 4125/897,4329/5163 is 3/1543737.
To find the highest common factor of 4125,4329, we have to find the factors of both numbers and list the highest common factor.
The factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125
The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
The HCF of 4125,4329 is 3.
Lets's calculate GCF of 4125,4329
| 3 | 4125, 4329 |
| 1375, 1443 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4125,4329 By Matching Biggest Common Factor Method
Now, list down the factors of 4125
:1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125
Now, list down the factors of 4329
:1,3,9,13,37,39,111,117,333,481,1443,4329
Greatest Common Factor
We found the factors 4125,4329 . The biggest common factor number is the GCF number.
So the greatest common factor 4125,4329 is 3.
Lets's calculate LCM of 897,5163
| 3 | 897, 5163 |
| 299, 1721 |
∴ So the LCM of the given numbers is 3 x 299 x 1721 = 1543737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1543737
Therefore, the GCF of Fractions 4125/897,4329/5163 is 3/1543737
Least Common Multiple of 897,5163 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 897,5163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,5163) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,5163) x common factors =3 x 1 = 3
LCM(897,5163) = ( 897 × 5163 ) / 3
LCM(897,5163) = 4631211 / 3
LCM(897,5163) = 1543737
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FAQs on GCF of Fractions of 4125/897, 4329/5163
1. What is the HCF of 4125,4329?
The HCF of 4125,4329 is 3
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 4125/897, 4329/5163?
Answer: GCF of Numerators as per given numbers 4125/897, 4329/5163 is
GCF of Numerators i.e. for 4125,4329 is 3
LCM of denominators i.e. for 897,5163 is 1543737.
Thus, GCF of Fractions is 3/1543737.Finally, GCF of Fractions for 4125/897, 4329/5163 is 3/1543737.