Use our free GCF of Fractions Calculator tool to compute the GCF of 4175/855, 1926/9147 i.e 1/2606895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4175/855, 1926/9147.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4175/855,1926/9147
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 4175/855,1926/9147, numerators are 4175,1926
Denominators are 855,9147
The GCF of 4175,1926 is 1 .
LCM of 855,9147 is 2606895.
The greatest common factor of 4175/855,1926/9147 = [GCF of 4175,1926]/[LCM of 855,9147]= 1/2606895
Therefore, the GCF of 4175/855,1926/9147 is 1/2606895.
To find the highest common factor of 4175,1926, we have to find the factors of both numbers and list the highest common factor.
The factors of 4175 are 1, 5, 25, 167, 835, 4175
The factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926
The HCF of 4175,1926 is 1.
Lets's calculate GCF of 4175,1926
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4175
:1,5,25,167,835,4175
Now, list down the factors of 1926
:1,2,3,6,9,18,107,214,321,642,963,1926
Greatest Common Factor
We found the factors 4175,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 4175,1926 is 1.
Lets's calculate LCM of 855,9147
3 | 855, 9147 |
285, 3049 |
∴ So the LCM of the given numbers is 3 x 285 x 3049 = 2606895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2606895
Therefore, the GCF of Fractions 4175/855,1926/9147 is 1/2606895
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 855,9147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,9147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(855,9147) x common factors =3 x 1 = 3
LCM(855,9147) = ( 855 × 9147 ) / 3
LCM(855,9147) = 7820685 / 3
LCM(855,9147) = 2606895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4175,1926?
The HCF of 4175,1926 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 4175/855, 1926/9147?
Answer: GCF of Numerators as per given numbers 4175/855, 1926/9147 is
GCF of Numerators i.e. for 4175,1926 is 1
LCM of denominators i.e. for 855,9147 is 2606895.
Thus, GCF of Fractions is 1/2606895.Finally, GCF of Fractions for 4175/855, 1926/9147 is 1/2606895.