Use our free GCF of Fractions Calculator tool to compute the GCF of 375/984, 125/968 i.e 125/119064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/984, 125/968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/984,125/968
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 375/984,125/968, numerators are 375,125
Denominators are 984,968
The GCF of 375,125 is 125 .
LCM of 984,968 is 119064.
The greatest common factor of 375/984,125/968 = [GCF of 375,125]/[LCM of 984,968]= 125/119064
Therefore, the GCF of 375/984,125/968 is 125/119064.
To find the highest common factor of 375,125, we have to find the factors of both numbers and list the highest common factor.
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 125 are 1, 5, 25, 125
The HCF of 375,125 is 125.
Lets's calculate GCF of 375,125
5 | 375, 125 |
5 | 75, 25 |
5 | 15, 5 |
3, 1 |
∴ So the GCF of the given numbers is 5 x 5 x 5 = 125
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 125
:1,5,25,125
Greatest Common Factor
We found the factors 375,125 . The biggest common factor number is the GCF number.
So the greatest common factor 375,125 is 125.
Lets's calculate LCM of 984,968
2 | 984, 968 |
2 | 492, 484 |
2 | 246, 242 |
123, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 123 x 121 = 119064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 125/119064
Therefore, the GCF of Fractions 375/984,125/968 is 125/119064
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 984,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(984,968) x common factors =8 x 1 = 8
LCM(984,968) = ( 984 × 968 ) / 8
LCM(984,968) = 952512 / 8
LCM(984,968) = 119064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 375,125?
The HCF of 375,125 is 125
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 375/984, 125/968?
Answer: GCF of Numerators as per given numbers 375/984, 125/968 is
GCF of Numerators i.e. for 375,125 is 125
LCM of denominators i.e. for 984,968 is 119064.
Thus, GCF of Fractions is 125/119064.Finally, GCF of Fractions for 375/984, 125/968 is 125/119064.