Use our free GCF of Fractions Calculator tool to compute the GCF of 4469/976, 3925/906 i.e 1/442128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/976, 3925/906.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4469/976,3925/906
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 4469/976,3925/906, numerators are 4469,3925
Denominators are 976,906
The GCF of 4469,3925 is 1 .
LCM of 976,906 is 442128.
The greatest common factor of 4469/976,3925/906 = [GCF of 4469,3925]/[LCM of 976,906]= 1/442128
Therefore, the GCF of 4469/976,3925/906 is 1/442128.
To find the highest common factor of 4469,3925, we have to find the factors of both numbers and list the highest common factor.
The factors of 4469 are 1, 41, 109, 4469
The factors of 3925 are 1, 5, 25, 157, 785, 3925
The HCF of 4469,3925 is 1.
Lets's calculate GCF of 4469,3925
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4469
:1,41,109,4469
Now, list down the factors of 3925
:1,5,25,157,785,3925
Greatest Common Factor
We found the factors 4469,3925 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,3925 is 1.
Lets's calculate LCM of 976,906
2 | 976, 906 |
488, 453 |
∴ So the LCM of the given numbers is 2 x 488 x 453 = 442128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442128
Therefore, the GCF of Fractions 4469/976,3925/906 is 1/442128
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 976,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,906) x common factors =2 x 1 = 2
LCM(976,906) = ( 976 × 906 ) / 2
LCM(976,906) = 884256 / 2
LCM(976,906) = 442128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4469,3925?
The HCF of 4469,3925 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 4469/976, 3925/906?
Answer: GCF of Numerators as per given numbers 4469/976, 3925/906 is
GCF of Numerators i.e. for 4469,3925 is 1
LCM of denominators i.e. for 976,906 is 442128.
Thus, GCF of Fractions is 1/442128.Finally, GCF of Fractions for 4469/976, 3925/906 is 1/442128.