Use our free GCF of Fractions Calculator tool to compute the GCF of 331/87, 878/789 i.e 1/22881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 331/87, 878/789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 331/87,878/789
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 331/87,878/789, numerators are 331,878
Denominators are 87,789
The GCF of 331,878 is 1 .
LCM of 87,789 is 22881.
The greatest common factor of 331/87,878/789 = [GCF of 331,878]/[LCM of 87,789]= 1/22881
Therefore, the GCF of 331/87,878/789 is 1/22881.
To find the highest common factor of 331,878, we have to find the factors of both numbers and list the highest common factor.
The factors of 331 are 1, 331
The factors of 878 are 1, 2, 439, 878
The HCF of 331,878 is 1.
Lets's calculate GCF of 331,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 331
:1,331
Now, list down the factors of 878
:1,2,439,878
Greatest Common Factor
We found the factors 331,878 . The biggest common factor number is the GCF number.
So the greatest common factor 331,878 is 1.
Lets's calculate LCM of 87,789
3 | 87, 789 |
29, 263 |
∴ So the LCM of the given numbers is 3 x 29 x 263 = 22881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22881
Therefore, the GCF of Fractions 331/87,878/789 is 1/22881
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 87,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,789) x common factors =3 x 1 = 3
LCM(87,789) = ( 87 × 789 ) / 3
LCM(87,789) = 68643 / 3
LCM(87,789) = 22881
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 331,878?
The HCF of 331,878 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 331/87, 878/789?
Answer: GCF of Numerators as per given numbers 331/87, 878/789 is
GCF of Numerators i.e. for 331,878 is 1
LCM of denominators i.e. for 87,789 is 22881.
Thus, GCF of Fractions is 1/22881.Finally, GCF of Fractions for 331/87, 878/789 is 1/22881.