Use our free GCF of Fractions Calculator tool to compute the GCF of 311/959, 983/434 i.e 1/59458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/959, 983/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/959,983/434
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 311/959,983/434, numerators are 311,983
Denominators are 959,434
The GCF of 311,983 is 1 .
LCM of 959,434 is 59458.
The greatest common factor of 311/959,983/434 = [GCF of 311,983]/[LCM of 959,434]= 1/59458
Therefore, the GCF of 311/959,983/434 is 1/59458.
To find the highest common factor of 311,983, 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 983 are 1, 983
The HCF of 311,983 is 1.
Lets's calculate GCF of 311,983
∴ 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 983
:1,983
Greatest Common Factor
We found the factors 311,983 . The biggest common factor number is the GCF number.
So the greatest common factor 311,983 is 1.
Lets's calculate LCM of 959,434
7 | 959, 434 |
137, 62 |
∴ So the LCM of the given numbers is 7 x 137 x 62 = 59458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59458
Therefore, the GCF of Fractions 311/959,983/434 is 1/59458
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 959,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,434) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(959,434) x common factors =7 x 1 = 7
LCM(959,434) = ( 959 × 434 ) / 7
LCM(959,434) = 416206 / 7
LCM(959,434) = 59458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 311,983?
The HCF of 311,983 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 311/959, 983/434?
Answer: GCF of Numerators as per given numbers 311/959, 983/434 is
GCF of Numerators i.e. for 311,983 is 1
LCM of denominators i.e. for 959,434 is 59458.
Thus, GCF of Fractions is 1/59458.Finally, GCF of Fractions for 311/959, 983/434 is 1/59458.