Use our free GCF of Fractions Calculator tool to compute the GCF of 928/171, 940/723 i.e 4/41211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/171, 940/723.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/171,940/723
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 928/171,940/723, numerators are 928,940
Denominators are 171,723
The GCF of 928,940 is 4 .
LCM of 171,723 is 41211.
The greatest common factor of 928/171,940/723 = [GCF of 928,940]/[LCM of 171,723]= 4/41211
Therefore, the GCF of 928/171,940/723 is 4/41211.
To find the highest common factor of 928,940, 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 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 928,940 is 4.
Lets's calculate GCF of 928,940
2 | 928, 940 |
2 | 464, 470 |
232, 235 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 928,940 . The biggest common factor number is the GCF number.
So the greatest common factor 928,940 is 4.
Lets's calculate LCM of 171,723
3 | 171, 723 |
57, 241 |
∴ So the LCM of the given numbers is 3 x 57 x 241 = 41211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/41211
Therefore, the GCF of Fractions 928/171,940/723 is 4/41211
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 171,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,723) x common factors =3 x 1 = 3
LCM(171,723) = ( 171 × 723 ) / 3
LCM(171,723) = 123633 / 3
LCM(171,723) = 41211
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,940?
The HCF of 928,940 is 4
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 928/171, 940/723?
Answer: GCF of Numerators as per given numbers 928/171, 940/723 is
GCF of Numerators i.e. for 928,940 is 4
LCM of denominators i.e. for 171,723 is 41211.
Thus, GCF of Fractions is 4/41211.Finally, GCF of Fractions for 928/171, 940/723 is 4/41211.