Use our free GCF of Fractions Calculator tool to compute the GCF of 928/258, 143/413 i.e 1/106554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/258, 143/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/258,143/413
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 928/258,143/413, numerators are 928,143
Denominators are 258,413
The GCF of 928,143 is 1 .
LCM of 258,413 is 106554.
The greatest common factor of 928/258,143/413 = [GCF of 928,143]/[LCM of 258,413]= 1/106554
Therefore, the GCF of 928/258,143/413 is 1/106554.
To find the highest common factor of 928,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 143 are 1, 11, 13, 143
The HCF of 928,143 is 1.
Lets's calculate GCF of 928,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 928,143 . The biggest common factor number is the GCF number.
So the greatest common factor 928,143 is 1.
Lets's calculate LCM of 258,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 106554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106554
Therefore, the GCF of Fractions 928/258,143/413 is 1/106554
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 258,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,413) x common factors =1 x 1 = 1
LCM(258,413) = ( 258 × 413 ) / 1
LCM(258,413) = 106554 / 1
LCM(258,413) = 106554
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,143?
The HCF of 928,143 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 928/258, 143/413?
Answer: GCF of Numerators as per given numbers 928/258, 143/413 is
GCF of Numerators i.e. for 928,143 is 1
LCM of denominators i.e. for 258,413 is 106554.
Thus, GCF of Fractions is 1/106554.Finally, GCF of Fractions for 928/258, 143/413 is 1/106554.