Use our free GCF of Fractions Calculator tool to compute the GCF of 843/240, 942/865 i.e 3/41520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/240, 942/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/240,942/865
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 843/240,942/865, numerators are 843,942
Denominators are 240,865
The GCF of 843,942 is 3 .
LCM of 240,865 is 41520.
The greatest common factor of 843/240,942/865 = [GCF of 843,942]/[LCM of 240,865]= 3/41520
Therefore, the GCF of 843/240,942/865 is 3/41520.
To find the highest common factor of 843,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 843 are 1, 3, 281, 843
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 843,942 is 3.
Lets's calculate GCF of 843,942
3 | 843, 942 |
281, 314 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 843
:1,3,281,843
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 843,942 . The biggest common factor number is the GCF number.
So the greatest common factor 843,942 is 3.
Lets's calculate LCM of 240,865
5 | 240, 865 |
48, 173 |
∴ So the LCM of the given numbers is 5 x 48 x 173 = 41520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41520
Therefore, the GCF of Fractions 843/240,942/865 is 3/41520
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 240,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(240,865) x common factors =5 x 1 = 5
LCM(240,865) = ( 240 × 865 ) / 5
LCM(240,865) = 207600 / 5
LCM(240,865) = 41520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 843,942?
The HCF of 843,942 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 843/240, 942/865?
Answer: GCF of Numerators as per given numbers 843/240, 942/865 is
GCF of Numerators i.e. for 843,942 is 3
LCM of denominators i.e. for 240,865 is 41520.
Thus, GCF of Fractions is 3/41520.Finally, GCF of Fractions for 843/240, 942/865 is 3/41520.