GCF of 4158/325, 4101/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4158/325, 4101/723 i.e 3/234975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4158/325, 4101/723.
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 4158/325,4101/723?
Given fractions are 4158/325,4101/723
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 4158/325,4101/723, numerators are 4158,4101
Denominators are 325,723
The GCF of 4158,4101 is 3 .
LCM of 325,723 is 234975.
The greatest common factor of 4158/325,4101/723 = [GCF of 4158,4101]/[LCM of 325,723]= 3/234975
Therefore, the GCF of 4158/325,4101/723 is 3/234975.
To find the highest common factor of 4158,4101, we have to find the factors of both numbers and list the highest common factor.
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The factors of 4101 are 1, 3, 1367, 4101
The HCF of 4158,4101 is 3.
Lets's calculate GCF of 4158,4101
| 3 | 4158, 4101 |
| 1386, 1367 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4158,4101 By Matching Biggest Common Factor Method
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Now, list down the factors of 4101
:1,3,1367,4101
Greatest Common Factor
We found the factors 4158,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 4158,4101 is 3.
Lets's calculate LCM of 325,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 234975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/234975
Therefore, the GCF of Fractions 4158/325,4101/723 is 3/234975
Least Common Multiple of 325,723 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 325,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,723) x common factors =1 x 1 = 1
LCM(325,723) = ( 325 × 723 ) / 1
LCM(325,723) = 234975 / 1
LCM(325,723) = 234975
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FAQs on GCF of Fractions of 4158/325, 4101/723
1. What is the HCF of 4158,4101?
The HCF of 4158,4101 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 4158/325, 4101/723?
Answer: GCF of Numerators as per given numbers 4158/325, 4101/723 is
GCF of Numerators i.e. for 4158,4101 is 3
LCM of denominators i.e. for 325,723 is 234975.
Thus, GCF of Fractions is 3/234975.Finally, GCF of Fractions for 4158/325, 4101/723 is 3/234975.