Use our free GCF of Fractions Calculator tool to compute the GCF of 211/296, 318/132 i.e 1/9768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/296, 318/132.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/296,318/132
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 211/296,318/132, numerators are 211,318
Denominators are 296,132
The GCF of 211,318 is 1 .
LCM of 296,132 is 9768.
The greatest common factor of 211/296,318/132 = [GCF of 211,318]/[LCM of 296,132]= 1/9768
Therefore, the GCF of 211/296,318/132 is 1/9768.
To find the highest common factor of 211,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 211,318 is 1.
Lets's calculate GCF of 211,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 211
:1,211
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 211,318 . The biggest common factor number is the GCF number.
So the greatest common factor 211,318 is 1.
Lets's calculate LCM of 296,132
2 | 296, 132 |
2 | 148, 66 |
74, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 33 = 9768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9768
Therefore, the GCF of Fractions 211/296,318/132 is 1/9768
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 296,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(296,132) x common factors =4 x 1 = 4
LCM(296,132) = ( 296 × 132 ) / 4
LCM(296,132) = 39072 / 4
LCM(296,132) = 9768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,318?
The HCF of 211,318 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 211/296, 318/132?
Answer: GCF of Numerators as per given numbers 211/296, 318/132 is
GCF of Numerators i.e. for 211,318 is 1
LCM of denominators i.e. for 296,132 is 9768.
Thus, GCF of Fractions is 1/9768.Finally, GCF of Fractions for 211/296, 318/132 is 1/9768.