Use our free GCF of Fractions Calculator tool to compute the GCF of 54/426, 95/878, 721/871 i.e 1/162889194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/426, 95/878, 721/871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/426,95/878,721/871
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 54/426,95/878,721/871, numerators are 54,95,721
Denominators are 426,878,871
The GCF of 54,95,721 is 1 .
LCM of 426,878,871 is 162889194.
The greatest common factor of 54/426,95/878,721/871 = [GCF of 54,95,721]/[LCM of 426,878,871]= 1/162889194
Therefore, the GCF of 54/426,95/878,721/871 is 1/162889194.
To find the highest common factor of 54,95,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 95 are 1, 5, 19, 95
The factors of 721 are 1, 7, 103, 721
The HCF of 54,95,721 is 1.
Lets's calculate GCF of 54,95,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 54,95,721 . The biggest common factor number is the GCF number.
So the greatest common factor 54,95,721 is 1.
Lets's calculate LCM of 426,878,871
2 | 426, 878, 871 |
213, 439, 871 |
∴ So the LCM of the given numbers is 2 x 213 x 439 x 871 = 162889194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162889194
Therefore, the GCF of Fractions 54/426,95/878,721/871 is 1/162889194
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 426,878,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,878,871) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(426,878,871) x common factors =1 x 2 = 2
LCM(426,878,871) = ( 426 × 878 × 871 ) / 2
LCM(426,878,871) = 325778388 / 2
LCM(426,878,871) = 162889194
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 54,95,721?
The HCF of 54,95,721 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 54/426, 95/878, 721/871?
Answer: GCF of Numerators as per given numbers 54/426, 95/878, 721/871 is
GCF of Numerators i.e. for 54,95,721 is 1
LCM of denominators i.e. for 426,878,871 is 162889194.
Thus, GCF of Fractions is 1/162889194.Finally, GCF of Fractions for 54/426, 95/878, 721/871 is 1/162889194.