Use our free GCF of Fractions Calculator tool to compute the GCF of 311/524, 114/393 i.e 1/1572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/524, 114/393.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/524,114/393
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 311/524,114/393, numerators are 311,114
Denominators are 524,393
The GCF of 311,114 is 1 .
LCM of 524,393 is 1572.
The greatest common factor of 311/524,114/393 = [GCF of 311,114]/[LCM of 524,393]= 1/1572
Therefore, the GCF of 311/524,114/393 is 1/1572.
To find the highest common factor of 311,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 311 are 1, 311
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 311,114 is 1.
Lets's calculate GCF of 311,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 311
:1,311
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 311,114 . The biggest common factor number is the GCF number.
So the greatest common factor 311,114 is 1.
Lets's calculate LCM of 524,393
131 | 524, 393 |
4, 3 |
∴ So the LCM of the given numbers is 131 x 4 x 3 = 1572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1572
Therefore, the GCF of Fractions 311/524,114/393 is 1/1572
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 524,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,393) = 131
common factors(in case of two or more numbers have common factors) = 1
GCF(524,393) x common factors =131 x 1 = 131
LCM(524,393) = ( 524 × 393 ) / 131
LCM(524,393) = 205932 / 131
LCM(524,393) = 1572
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 311,114?
The HCF of 311,114 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 311/524, 114/393?
Answer: GCF of Numerators as per given numbers 311/524, 114/393 is
GCF of Numerators i.e. for 311,114 is 1
LCM of denominators i.e. for 524,393 is 1572.
Thus, GCF of Fractions is 1/1572.Finally, GCF of Fractions for 311/524, 114/393 is 1/1572.