Use our free GCF of Fractions Calculator tool to compute the GCF of 17/454, 85/481, 947/326 i.e 1/35594962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/454, 85/481, 947/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/454,85/481,947/326
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 17/454,85/481,947/326, numerators are 17,85,947
Denominators are 454,481,326
The GCF of 17,85,947 is 1 .
LCM of 454,481,326 is 35594962.
The greatest common factor of 17/454,85/481,947/326 = [GCF of 17,85,947]/[LCM of 454,481,326]= 1/35594962
Therefore, the GCF of 17/454,85/481,947/326 is 1/35594962.
To find the highest common factor of 17,85,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 85 are 1, 5, 17, 85
The factors of 947 are 1, 947
The HCF of 17,85,947 is 1.
Lets's calculate GCF of 17,85,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 17,85,947 . The biggest common factor number is the GCF number.
So the greatest common factor 17,85,947 is 1.
Lets's calculate LCM of 454,481,326
2 | 454, 481, 326 |
227, 481, 163 |
∴ So the LCM of the given numbers is 2 x 227 x 481 x 163 = 35594962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35594962
Therefore, the GCF of Fractions 17/454,85/481,947/326 is 1/35594962
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 454,481,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,481,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(454,481,326) x common factors =1 x 2 = 2
LCM(454,481,326) = ( 454 × 481 × 326 ) / 2
LCM(454,481,326) = 71189924 / 2
LCM(454,481,326) = 35594962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,85,947?
The HCF of 17,85,947 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 17/454, 85/481, 947/326?
Answer: GCF of Numerators as per given numbers 17/454, 85/481, 947/326 is
GCF of Numerators i.e. for 17,85,947 is 1
LCM of denominators i.e. for 454,481,326 is 35594962.
Thus, GCF of Fractions is 1/35594962.Finally, GCF of Fractions for 17/454, 85/481, 947/326 is 1/35594962.