Use our free GCF of Fractions Calculator tool to compute the GCF of 9014/814, 1900/1227 i.e 2/998778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9014/814, 1900/1227.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9014/814,1900/1227
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 9014/814,1900/1227, numerators are 9014,1900
Denominators are 814,1227
The GCF of 9014,1900 is 2 .
LCM of 814,1227 is 998778.
The greatest common factor of 9014/814,1900/1227 = [GCF of 9014,1900]/[LCM of 814,1227]= 2/998778
Therefore, the GCF of 9014/814,1900/1227 is 2/998778.
To find the highest common factor of 9014,1900, we have to find the factors of both numbers and list the highest common factor.
The factors of 9014 are 1, 2, 4507, 9014
The factors of 1900 are 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 190, 380, 475, 950, 1900
The HCF of 9014,1900 is 2.
Lets's calculate GCF of 9014,1900
2 | 9014, 1900 |
4507, 950 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9014
:1,2,4507,9014
Now, list down the factors of 1900
:1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Greatest Common Factor
We found the factors 9014,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 9014,1900 is 2.
Lets's calculate LCM of 814,1227
Given numbers has no common factors except 1. So, there LCM is their product i.e 998778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/998778
Therefore, the GCF of Fractions 9014/814,1900/1227 is 2/998778
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 814,1227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,1227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,1227) x common factors =1 x 1 = 1
LCM(814,1227) = ( 814 × 1227 ) / 1
LCM(814,1227) = 998778 / 1
LCM(814,1227) = 998778
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9014,1900?
The HCF of 9014,1900 is 2
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 9014/814, 1900/1227?
Answer: GCF of Numerators as per given numbers 9014/814, 1900/1227 is
GCF of Numerators i.e. for 9014,1900 is 2
LCM of denominators i.e. for 814,1227 is 998778.
Thus, GCF of Fractions is 2/998778.Finally, GCF of Fractions for 9014/814, 1900/1227 is 2/998778.