Use our free GCF of Fractions Calculator tool to compute the GCF of 831/317, 747/749 i.e 3/237433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 831/317, 747/749.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/317,747/749
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 831/317,747/749, numerators are 831,747
Denominators are 317,749
The GCF of 831,747 is 3 .
LCM of 317,749 is 237433.
The greatest common factor of 831/317,747/749 = [GCF of 831,747]/[LCM of 317,749]= 3/237433
Therefore, the GCF of 831/317,747/749 is 3/237433.
To find the highest common factor of 831,747, we have to find the factors of both numbers and list the highest common factor.
The factors of 831 are 1, 3, 277, 831
The factors of 747 are 1, 3, 9, 83, 249, 747
The HCF of 831,747 is 3.
Lets's calculate GCF of 831,747
3 | 831, 747 |
277, 249 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 831,747 . The biggest common factor number is the GCF number.
So the greatest common factor 831,747 is 3.
Lets's calculate LCM of 317,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 237433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/237433
Therefore, the GCF of Fractions 831/317,747/749 is 3/237433
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 317,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,749) x common factors =1 x 1 = 1
LCM(317,749) = ( 317 × 749 ) / 1
LCM(317,749) = 237433 / 1
LCM(317,749) = 237433
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 831,747?
The HCF of 831,747 is 3
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 831/317, 747/749?
Answer: GCF of Numerators as per given numbers 831/317, 747/749 is
GCF of Numerators i.e. for 831,747 is 3
LCM of denominators i.e. for 317,749 is 237433.
Thus, GCF of Fractions is 3/237433.Finally, GCF of Fractions for 831/317, 747/749 is 3/237433.