GCF of 1241/159, 8138/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1241/159, 8138/309 i.e 1/16377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1241/159, 8138/309.
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 1241/159,8138/309?
Given fractions are 1241/159,8138/309
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 1241/159,8138/309, numerators are 1241,8138
Denominators are 159,309
The GCF of 1241,8138 is 1 .
LCM of 159,309 is 16377.
The greatest common factor of 1241/159,8138/309 = [GCF of 1241,8138]/[LCM of 159,309]= 1/16377
Therefore, the GCF of 1241/159,8138/309 is 1/16377.
To find the highest common factor of 1241,8138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1241 are 1, 17, 73, 1241
The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138
The HCF of 1241,8138 is 1.
Lets's calculate GCF of 1241,8138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1241,8138 By Matching Biggest Common Factor Method
Now, list down the factors of 1241
:1,17,73,1241
Now, list down the factors of 8138
:1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 1241,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 1241,8138 is 1.
Lets's calculate LCM of 159,309
| 3 | 159, 309 |
| 53, 103 |
∴ So the LCM of the given numbers is 3 x 53 x 103 = 16377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16377
Therefore, the GCF of Fractions 1241/159,8138/309 is 1/16377
Least Common Multiple of 159,309 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 159,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,309) x common factors =3 x 1 = 3
LCM(159,309) = ( 159 × 309 ) / 3
LCM(159,309) = 49131 / 3
LCM(159,309) = 16377
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FAQs on GCF of Fractions of 1241/159, 8138/309
1. What is the HCF of 1241,8138?
The HCF of 1241,8138 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 1241/159, 8138/309?
Answer: GCF of Numerators as per given numbers 1241/159, 8138/309 is
GCF of Numerators i.e. for 1241,8138 is 1
LCM of denominators i.e. for 159,309 is 16377.
Thus, GCF of Fractions is 1/16377.Finally, GCF of Fractions for 1241/159, 8138/309 is 1/16377.