Use our free GCF of Fractions Calculator tool to compute the GCF of 895/444, 957/427 i.e 1/189588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/444, 957/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/444,957/427
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 895/444,957/427, numerators are 895,957
Denominators are 444,427
The GCF of 895,957 is 1 .
LCM of 444,427 is 189588.
The greatest common factor of 895/444,957/427 = [GCF of 895,957]/[LCM of 444,427]= 1/189588
Therefore, the GCF of 895/444,957/427 is 1/189588.
To find the highest common factor of 895,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 895,957 is 1.
Lets's calculate GCF of 895,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 895,957 . The biggest common factor number is the GCF number.
So the greatest common factor 895,957 is 1.
Lets's calculate LCM of 444,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 189588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189588
Therefore, the GCF of Fractions 895/444,957/427 is 1/189588
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 444,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(444,427) x common factors =1 x 1 = 1
LCM(444,427) = ( 444 × 427 ) / 1
LCM(444,427) = 189588 / 1
LCM(444,427) = 189588
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 895,957?
The HCF of 895,957 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 895/444, 957/427?
Answer: GCF of Numerators as per given numbers 895/444, 957/427 is
GCF of Numerators i.e. for 895,957 is 1
LCM of denominators i.e. for 444,427 is 189588.
Thus, GCF of Fractions is 1/189588.Finally, GCF of Fractions for 895/444, 957/427 is 1/189588.