GCF of 4138/115, 8614/4309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4138/115, 8614/4309 i.e 2/495535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4138/115, 8614/4309.
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 4138/115,8614/4309?
Given fractions are 4138/115,8614/4309
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 4138/115,8614/4309, numerators are 4138,8614
Denominators are 115,4309
The GCF of 4138,8614 is 2 .
LCM of 115,4309 is 495535.
The greatest common factor of 4138/115,8614/4309 = [GCF of 4138,8614]/[LCM of 115,4309]= 2/495535
Therefore, the GCF of 4138/115,8614/4309 is 2/495535.
To find the highest common factor of 4138,8614, we have to find the factors of both numbers and list the highest common factor.
The factors of 4138 are 1, 2, 2069, 4138
The factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614
The HCF of 4138,8614 is 2.
Lets's calculate GCF of 4138,8614
| 2 | 4138, 8614 |
| 2069, 4307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4138,8614 By Matching Biggest Common Factor Method
Now, list down the factors of 4138
:1,2,2069,4138
Now, list down the factors of 8614
:1,2,59,73,118,146,4307,8614
Greatest Common Factor
We found the factors 4138,8614 . The biggest common factor number is the GCF number.
So the greatest common factor 4138,8614 is 2.
Lets's calculate LCM of 115,4309
Given numbers has no common factors except 1. So, there LCM is their product i.e 495535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/495535
Therefore, the GCF of Fractions 4138/115,8614/4309 is 2/495535
Least Common Multiple of 115,4309 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 115,4309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,4309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,4309) x common factors =1 x 1 = 1
LCM(115,4309) = ( 115 × 4309 ) / 1
LCM(115,4309) = 495535 / 1
LCM(115,4309) = 495535
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FAQs on GCF of Fractions of 4138/115, 8614/4309
1. What is the HCF of 4138,8614?
The HCF of 4138,8614 is 2
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 4138/115, 8614/4309?
Answer: GCF of Numerators as per given numbers 4138/115, 8614/4309 is
GCF of Numerators i.e. for 4138,8614 is 2
LCM of denominators i.e. for 115,4309 is 495535.
Thus, GCF of Fractions is 2/495535.Finally, GCF of Fractions for 4138/115, 8614/4309 is 2/495535.