Use our free GCF of Fractions Calculator tool to compute the GCF of 375/34, 397/1750 i.e 1/29750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/34, 397/1750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/34,397/1750
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 375/34,397/1750, numerators are 375,397
Denominators are 34,1750
The GCF of 375,397 is 1 .
LCM of 34,1750 is 29750.
The greatest common factor of 375/34,397/1750 = [GCF of 375,397]/[LCM of 34,1750]= 1/29750
Therefore, the GCF of 375/34,397/1750 is 1/29750.
To find the highest common factor of 375,397, 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 397 are 1, 397
The HCF of 375,397 is 1.
Lets's calculate GCF of 375,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 397
:1,397
Greatest Common Factor
We found the factors 375,397 . The biggest common factor number is the GCF number.
So the greatest common factor 375,397 is 1.
Lets's calculate LCM of 34,1750
2 | 34, 1750 |
17, 875 |
∴ So the LCM of the given numbers is 2 x 17 x 875 = 29750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29750
Therefore, the GCF of Fractions 375/34,397/1750 is 1/29750
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 34,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,1750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,1750) x common factors =2 x 1 = 2
LCM(34,1750) = ( 34 × 1750 ) / 2
LCM(34,1750) = 59500 / 2
LCM(34,1750) = 29750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 375,397?
The HCF of 375,397 is 1
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 375/34, 397/1750?
Answer: GCF of Numerators as per given numbers 375/34, 397/1750 is
GCF of Numerators i.e. for 375,397 is 1
LCM of denominators i.e. for 34,1750 is 29750.
Thus, GCF of Fractions is 1/29750.Finally, GCF of Fractions for 375/34, 397/1750 is 1/29750.