GCF of 9146/271, 1614/6513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9146/271, 1614/6513 i.e 538/1765023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9146/271, 1614/6513.
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 9146/271,1614/6513?
Given fractions are 9146/271,1614/6513
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 9146/271,1614/6513, numerators are 9146,1614
Denominators are 271,6513
The GCF of 9146,1614 is 538 .
LCM of 271,6513 is 1765023.
The greatest common factor of 9146/271,1614/6513 = [GCF of 9146,1614]/[LCM of 271,6513]= 538/1765023
Therefore, the GCF of 9146/271,1614/6513 is 538/1765023.
To find the highest common factor of 9146,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 9146,1614 is 538.
Lets's calculate GCF of 9146,1614
| 2 | 9146, 1614 |
| 269 | 4573, 807 |
| 17, 3 |
∴ So the GCF of the given numbers is 2 x 269 = 538
Greatest Common Factor of 9146,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 9146,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 9146,1614 is 538.
Lets's calculate LCM of 271,6513
Given numbers has no common factors except 1. So, there LCM is their product i.e 1765023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 538/1765023
Therefore, the GCF of Fractions 9146/271,1614/6513 is 538/1765023
Least Common Multiple of 271,6513 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 271,6513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,6513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,6513) x common factors =1 x 1 = 1
LCM(271,6513) = ( 271 × 6513 ) / 1
LCM(271,6513) = 1765023 / 1
LCM(271,6513) = 1765023
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FAQs on GCF of Fractions of 9146/271, 1614/6513
1. What is the HCF of 9146,1614?
The HCF of 9146,1614 is 538
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 9146/271, 1614/6513?
Answer: GCF of Numerators as per given numbers 9146/271, 1614/6513 is
GCF of Numerators i.e. for 9146,1614 is 538
LCM of denominators i.e. for 271,6513 is 1765023.
Thus, GCF of Fractions is 538/1765023.Finally, GCF of Fractions for 9146/271, 1614/6513 is 538/1765023.