Use our free GCF of Fractions Calculator tool to compute the GCF of 9417/570, 1533/3488 i.e 219/994080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9417/570, 1533/3488.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9417/570,1533/3488
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 9417/570,1533/3488, numerators are 9417,1533
Denominators are 570,3488
The GCF of 9417,1533 is 219 .
LCM of 570,3488 is 994080.
The greatest common factor of 9417/570,1533/3488 = [GCF of 9417,1533]/[LCM of 570,3488]= 219/994080
Therefore, the GCF of 9417/570,1533/3488 is 219/994080.
To find the highest common factor of 9417,1533, we have to find the factors of both numbers and list the highest common factor.
The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417
The factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533
The HCF of 9417,1533 is 219.
Lets's calculate GCF of 9417,1533
3 | 9417, 1533 |
73 | 3139, 511 |
43, 7 |
∴ So the GCF of the given numbers is 3 x 73 = 219
Now, list down the factors of 9417
:1,3,43,73,129,219,3139,9417
Now, list down the factors of 1533
:1,3,7,21,73,219,511,1533
Greatest Common Factor
We found the factors 9417,1533 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,1533 is 219.
Lets's calculate LCM of 570,3488
2 | 570, 3488 |
285, 1744 |
∴ So the LCM of the given numbers is 2 x 285 x 1744 = 994080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 219/994080
Therefore, the GCF of Fractions 9417/570,1533/3488 is 219/994080
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 570,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,3488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,3488) x common factors =2 x 1 = 2
LCM(570,3488) = ( 570 × 3488 ) / 2
LCM(570,3488) = 1988160 / 2
LCM(570,3488) = 994080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9417,1533?
The HCF of 9417,1533 is 219
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 9417/570, 1533/3488?
Answer: GCF of Numerators as per given numbers 9417/570, 1533/3488 is
GCF of Numerators i.e. for 9417,1533 is 219
LCM of denominators i.e. for 570,3488 is 994080.
Thus, GCF of Fractions is 219/994080.Finally, GCF of Fractions for 9417/570, 1533/3488 is 219/994080.