Use our free GCF of Fractions Calculator tool to compute the GCF of 203/709, 375/340 i.e 1/241060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/709, 375/340.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 203/709,375/340
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 203/709,375/340, numerators are 203,375
Denominators are 709,340
The GCF of 203,375 is 1 .
LCM of 709,340 is 241060.
The greatest common factor of 203/709,375/340 = [GCF of 203,375]/[LCM of 709,340]= 1/241060
Therefore, the GCF of 203/709,375/340 is 1/241060.
To find the highest common factor of 203,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 203 are 1, 7, 29, 203
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 203,375 is 1.
Lets's calculate GCF of 203,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 203
:1,7,29,203
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 203,375 . The biggest common factor number is the GCF number.
So the greatest common factor 203,375 is 1.
Lets's calculate LCM of 709,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 241060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241060
Therefore, the GCF of Fractions 203/709,375/340 is 1/241060
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 709,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,340) x common factors =1 x 1 = 1
LCM(709,340) = ( 709 × 340 ) / 1
LCM(709,340) = 241060 / 1
LCM(709,340) = 241060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 203,375?
The HCF of 203,375 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 203/709, 375/340?
Answer: GCF of Numerators as per given numbers 203/709, 375/340 is
GCF of Numerators i.e. for 203,375 is 1
LCM of denominators i.e. for 709,340 is 241060.
Thus, GCF of Fractions is 1/241060.Finally, GCF of Fractions for 203/709, 375/340 is 1/241060.