GCF of 8815/149, 5140/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8815/149, 5140/241 i.e 5/35909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8815/149, 5140/241.
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 8815/149,5140/241?
Given fractions are 8815/149,5140/241
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 8815/149,5140/241, numerators are 8815,5140
Denominators are 149,241
The GCF of 8815,5140 is 5 .
LCM of 149,241 is 35909.
The greatest common factor of 8815/149,5140/241 = [GCF of 8815,5140]/[LCM of 149,241]= 5/35909
Therefore, the GCF of 8815/149,5140/241 is 5/35909.
To find the highest common factor of 8815,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 8815 are 1, 5, 41, 43, 205, 215, 1763, 8815
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 8815,5140 is 5.
Lets's calculate GCF of 8815,5140
| 5 | 8815, 5140 |
| 1763, 1028 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8815,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 8815
:1,5,41,43,205,215,1763,8815
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 8815,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 8815,5140 is 5.
Lets's calculate LCM of 149,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 35909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35909
Therefore, the GCF of Fractions 8815/149,5140/241 is 5/35909
Least Common Multiple of 149,241 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 149,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,241) x common factors =1 x 1 = 1
LCM(149,241) = ( 149 × 241 ) / 1
LCM(149,241) = 35909 / 1
LCM(149,241) = 35909
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FAQs on GCF of Fractions of 8815/149, 5140/241
1. What is the HCF of 8815,5140?
The HCF of 8815,5140 is 5
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 8815/149, 5140/241?
Answer: GCF of Numerators as per given numbers 8815/149, 5140/241 is
GCF of Numerators i.e. for 8815,5140 is 5
LCM of denominators i.e. for 149,241 is 35909.
Thus, GCF of Fractions is 5/35909.Finally, GCF of Fractions for 8815/149, 5140/241 is 5/35909.