Use our free GCF of Fractions Calculator tool to compute the GCF of 305/914, 633/352 i.e 1/160864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 305/914, 633/352.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 305/914,633/352
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 305/914,633/352, numerators are 305,633
Denominators are 914,352
The GCF of 305,633 is 1 .
LCM of 914,352 is 160864.
The greatest common factor of 305/914,633/352 = [GCF of 305,633]/[LCM of 914,352]= 1/160864
Therefore, the GCF of 305/914,633/352 is 1/160864.
To find the highest common factor of 305,633, we have to find the factors of both numbers and list the highest common factor.
The factors of 305 are 1, 5, 61, 305
The factors of 633 are 1, 3, 211, 633
The HCF of 305,633 is 1.
Lets's calculate GCF of 305,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 305
:1,5,61,305
Now, list down the factors of 633
:1,3,211,633
Greatest Common Factor
We found the factors 305,633 . The biggest common factor number is the GCF number.
So the greatest common factor 305,633 is 1.
Lets's calculate LCM of 914,352
2 | 914, 352 |
457, 176 |
∴ So the LCM of the given numbers is 2 x 457 x 176 = 160864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160864
Therefore, the GCF of Fractions 305/914,633/352 is 1/160864
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 914,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,352) x common factors =2 x 1 = 2
LCM(914,352) = ( 914 × 352 ) / 2
LCM(914,352) = 321728 / 2
LCM(914,352) = 160864
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 305,633?
The HCF of 305,633 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 305/914, 633/352?
Answer: GCF of Numerators as per given numbers 305/914, 633/352 is
GCF of Numerators i.e. for 305,633 is 1
LCM of denominators i.e. for 914,352 is 160864.
Thus, GCF of Fractions is 1/160864.Finally, GCF of Fractions for 305/914, 633/352 is 1/160864.