Use our free GCF of Fractions Calculator tool to compute the GCF of 110/324, 253/834 i.e 11/45036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/324, 253/834.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/324,253/834
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 110/324,253/834, numerators are 110,253
Denominators are 324,834
The GCF of 110,253 is 11 .
LCM of 324,834 is 45036.
The greatest common factor of 110/324,253/834 = [GCF of 110,253]/[LCM of 324,834]= 11/45036
Therefore, the GCF of 110/324,253/834 is 11/45036.
To find the highest common factor of 110,253, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 253 are 1, 11, 23, 253
The HCF of 110,253 is 11.
Lets's calculate GCF of 110,253
11 | 110, 253 |
10, 23 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 253
:1,11,23,253
Greatest Common Factor
We found the factors 110,253 . The biggest common factor number is the GCF number.
So the greatest common factor 110,253 is 11.
Lets's calculate LCM of 324,834
2 | 324, 834 |
3 | 162, 417 |
54, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 54 x 139 = 45036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/45036
Therefore, the GCF of Fractions 110/324,253/834 is 11/45036
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 324,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,834) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(324,834) x common factors =6 x 1 = 6
LCM(324,834) = ( 324 × 834 ) / 6
LCM(324,834) = 270216 / 6
LCM(324,834) = 45036
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 110,253?
The HCF of 110,253 is 11
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 110/324, 253/834?
Answer: GCF of Numerators as per given numbers 110/324, 253/834 is
GCF of Numerators i.e. for 110,253 is 11
LCM of denominators i.e. for 324,834 is 45036.
Thus, GCF of Fractions is 11/45036.Finally, GCF of Fractions for 110/324, 253/834 is 11/45036.