Use our free GCF of Fractions Calculator tool to compute the GCF of 14/668, 54/905, 458/948 i.e 2/143275980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/668, 54/905, 458/948.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/668,54/905,458/948
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 14/668,54/905,458/948, numerators are 14,54,458
Denominators are 668,905,948
The GCF of 14,54,458 is 2 .
LCM of 668,905,948 is 143275980.
The greatest common factor of 14/668,54/905,458/948 = [GCF of 14,54,458]/[LCM of 668,905,948]= 2/143275980
Therefore, the GCF of 14/668,54/905,458/948 is 2/143275980.
To find the highest common factor of 14,54,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 458 are 1, 2, 229, 458
The HCF of 14,54,458 is 2.
Lets's calculate GCF of 14,54,458
2 | 14, 54, 458 |
7, 27, 229 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 14,54,458 . The biggest common factor number is the GCF number.
So the greatest common factor 14,54,458 is 2.
Lets's calculate LCM of 668,905,948
2 | 668, 905, 948 |
2 | 334, 905, 474 |
167, 905, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 905 x 237 = 143275980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143275980
Therefore, the GCF of Fractions 14/668,54/905,458/948 is 2/143275980
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 668,905,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,905,948) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(668,905,948) x common factors =1 x 4 = 4
LCM(668,905,948) = ( 668 × 905 × 948 ) / 4
LCM(668,905,948) = 573103920 / 4
LCM(668,905,948) = 143275980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,54,458?
The HCF of 14,54,458 is 2
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 14/668, 54/905, 458/948?
Answer: GCF of Numerators as per given numbers 14/668, 54/905, 458/948 is
GCF of Numerators i.e. for 14,54,458 is 2
LCM of denominators i.e. for 668,905,948 is 143275980.
Thus, GCF of Fractions is 2/143275980.Finally, GCF of Fractions for 14/668, 54/905, 458/948 is 2/143275980.