Use our free GCF of Fractions Calculator tool to compute the GCF of 3415/849, 4285/8425 i.e 5/7152825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3415/849, 4285/8425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3415/849,4285/8425
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 3415/849,4285/8425, numerators are 3415,4285
Denominators are 849,8425
The GCF of 3415,4285 is 5 .
LCM of 849,8425 is 7152825.
The greatest common factor of 3415/849,4285/8425 = [GCF of 3415,4285]/[LCM of 849,8425]= 5/7152825
Therefore, the GCF of 3415/849,4285/8425 is 5/7152825.
To find the highest common factor of 3415,4285, we have to find the factors of both numbers and list the highest common factor.
The factors of 3415 are 1, 5, 683, 3415
The factors of 4285 are 1, 5, 857, 4285
The HCF of 3415,4285 is 5.
Lets's calculate GCF of 3415,4285
5 | 3415, 4285 |
683, 857 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 3415
:1,5,683,3415
Now, list down the factors of 4285
:1,5,857,4285
Greatest Common Factor
We found the factors 3415,4285 . The biggest common factor number is the GCF number.
So the greatest common factor 3415,4285 is 5.
Lets's calculate LCM of 849,8425
Given numbers has no common factors except 1. So, there LCM is their product i.e 7152825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7152825
Therefore, the GCF of Fractions 3415/849,4285/8425 is 5/7152825
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 849,8425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,8425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,8425) x common factors =1 x 1 = 1
LCM(849,8425) = ( 849 × 8425 ) / 1
LCM(849,8425) = 7152825 / 1
LCM(849,8425) = 7152825
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3415,4285?
The HCF of 3415,4285 is 5
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 3415/849, 4285/8425?
Answer: GCF of Numerators as per given numbers 3415/849, 4285/8425 is
GCF of Numerators i.e. for 3415,4285 is 5
LCM of denominators i.e. for 849,8425 is 7152825.
Thus, GCF of Fractions is 5/7152825.Finally, GCF of Fractions for 3415/849, 4285/8425 is 5/7152825.