Use our free GCF of Fractions Calculator tool to compute the GCF of 48/126, 854/546, 201/729 i.e 1/132678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/126, 854/546, 201/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/126,854/546,201/729
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 48/126,854/546,201/729, numerators are 48,854,201
Denominators are 126,546,729
The GCF of 48,854,201 is 1 .
LCM of 126,546,729 is 132678.
The greatest common factor of 48/126,854/546,201/729 = [GCF of 48,854,201]/[LCM of 126,546,729]= 1/132678
Therefore, the GCF of 48/126,854/546,201/729 is 1/132678.
To find the highest common factor of 48,854,201, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The factors of 201 are 1, 3, 67, 201
The HCF of 48,854,201 is 1.
Lets's calculate GCF of 48,854,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Now, list down the factors of 201
:1,3,67,201
Greatest Common Factor
We found the factors 48,854,201 . The biggest common factor number is the GCF number.
So the greatest common factor 48,854,201 is 1.
Lets's calculate LCM of 126,546,729
2 | 126, 546, 729 |
3 | 63, 273, 729 |
3 | 21, 91, 243 |
7 | 7, 91, 81 |
1, 13, 81 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 13 x 81 = 132678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132678
Therefore, the GCF of Fractions 48/126,854/546,201/729 is 1/132678
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 126,546,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,546,729) = 3
common factors(in case of two or more numbers have common factors) = 126
GCF(126,546,729) x common factors =3 x 126 = 378
LCM(126,546,729) = ( 126 × 546 × 729 ) / 378
LCM(126,546,729) = 50152284 / 378
LCM(126,546,729) = 132678
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,854,201?
The HCF of 48,854,201 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 48/126, 854/546, 201/729?
Answer: GCF of Numerators as per given numbers 48/126, 854/546, 201/729 is
GCF of Numerators i.e. for 48,854,201 is 1
LCM of denominators i.e. for 126,546,729 is 132678.
Thus, GCF of Fractions is 1/132678.Finally, GCF of Fractions for 48/126, 854/546, 201/729 is 1/132678.