Use our free GCF of Fractions Calculator tool to compute the GCF of 9414/570, 2286/4175 i.e 18/475950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9414/570, 2286/4175.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9414/570,2286/4175
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 9414/570,2286/4175, numerators are 9414,2286
Denominators are 570,4175
The GCF of 9414,2286 is 18 .
LCM of 570,4175 is 475950.
The greatest common factor of 9414/570,2286/4175 = [GCF of 9414,2286]/[LCM of 570,4175]= 18/475950
Therefore, the GCF of 9414/570,2286/4175 is 18/475950.
To find the highest common factor of 9414,2286, we have to find the factors of both numbers and list the highest common factor.
The factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The HCF of 9414,2286 is 18.
Lets's calculate GCF of 9414,2286
2 | 9414, 2286 |
3 | 4707, 1143 |
3 | 1569, 381 |
523, 127 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Now, list down the factors of 9414
:1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Greatest Common Factor
We found the factors 9414,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 9414,2286 is 18.
Lets's calculate LCM of 570,4175
5 | 570, 4175 |
114, 835 |
∴ So the LCM of the given numbers is 5 x 114 x 835 = 475950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/475950
Therefore, the GCF of Fractions 9414/570,2286/4175 is 18/475950
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 570,4175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,4175) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(570,4175) x common factors =5 x 1 = 5
LCM(570,4175) = ( 570 × 4175 ) / 5
LCM(570,4175) = 2379750 / 5
LCM(570,4175) = 475950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9414,2286?
The HCF of 9414,2286 is 18
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 9414/570, 2286/4175?
Answer: GCF of Numerators as per given numbers 9414/570, 2286/4175 is
GCF of Numerators i.e. for 9414,2286 is 18
LCM of denominators i.e. for 570,4175 is 475950.
Thus, GCF of Fractions is 18/475950.Finally, GCF of Fractions for 9414/570, 2286/4175 is 18/475950.