GCF of 2904/271, 6109/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2904/271, 6109/142 i.e 1/38482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2904/271, 6109/142.
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 2904/271,6109/142?
Given fractions are 2904/271,6109/142
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 2904/271,6109/142, numerators are 2904,6109
Denominators are 271,142
The GCF of 2904,6109 is 1 .
LCM of 271,142 is 38482.
The greatest common factor of 2904/271,6109/142 = [GCF of 2904,6109]/[LCM of 271,142]= 1/38482
Therefore, the GCF of 2904/271,6109/142 is 1/38482.
To find the highest common factor of 2904,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The factors of 6109 are 1, 41, 149, 6109
The HCF of 2904,6109 is 1.
Lets's calculate GCF of 2904,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2904,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 2904,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 2904,6109 is 1.
Lets's calculate LCM of 271,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 38482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38482
Therefore, the GCF of Fractions 2904/271,6109/142 is 1/38482
Least Common Multiple of 271,142 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 271,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,142) x common factors =1 x 1 = 1
LCM(271,142) = ( 271 × 142 ) / 1
LCM(271,142) = 38482 / 1
LCM(271,142) = 38482
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FAQs on GCF of Fractions of 2904/271, 6109/142
1. What is the HCF of 2904,6109?
The HCF of 2904,6109 is 1
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 2904/271, 6109/142?
Answer: GCF of Numerators as per given numbers 2904/271, 6109/142 is
GCF of Numerators i.e. for 2904,6109 is 1
LCM of denominators i.e. for 271,142 is 38482.
Thus, GCF of Fractions is 1/38482.Finally, GCF of Fractions for 2904/271, 6109/142 is 1/38482.