Use our free GCF of Fractions Calculator tool to compute the GCF of 4378/415, 1350/9586 i.e 2/3978190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4378/415, 1350/9586.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4378/415,1350/9586
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 4378/415,1350/9586, numerators are 4378,1350
Denominators are 415,9586
The GCF of 4378,1350 is 2 .
LCM of 415,9586 is 3978190.
The greatest common factor of 4378/415,1350/9586 = [GCF of 4378,1350]/[LCM of 415,9586]= 2/3978190
Therefore, the GCF of 4378/415,1350/9586 is 2/3978190.
To find the highest common factor of 4378,1350, we have to find the factors of both numbers and list the highest common factor.
The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The HCF of 4378,1350 is 2.
Lets's calculate GCF of 4378,1350
2 | 4378, 1350 |
2189, 675 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4378
:1,2,11,22,199,398,2189,4378
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Greatest Common Factor
We found the factors 4378,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,1350 is 2.
Lets's calculate LCM of 415,9586
Given numbers has no common factors except 1. So, there LCM is their product i.e 3978190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3978190
Therefore, the GCF of Fractions 4378/415,1350/9586 is 2/3978190
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 415,9586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,9586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,9586) x common factors =1 x 1 = 1
LCM(415,9586) = ( 415 × 9586 ) / 1
LCM(415,9586) = 3978190 / 1
LCM(415,9586) = 3978190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4378,1350?
The HCF of 4378,1350 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 4378/415, 1350/9586?
Answer: GCF of Numerators as per given numbers 4378/415, 1350/9586 is
GCF of Numerators i.e. for 4378,1350 is 2
LCM of denominators i.e. for 415,9586 is 3978190.
Thus, GCF of Fractions is 2/3978190.Finally, GCF of Fractions for 4378/415, 1350/9586 is 2/3978190.