Use our free GCF of Fractions Calculator tool to compute the GCF of 103/897, 407/366 i.e 1/109434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/897, 407/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/897,407/366
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 103/897,407/366, numerators are 103,407
Denominators are 897,366
The GCF of 103,407 is 1 .
LCM of 897,366 is 109434.
The greatest common factor of 103/897,407/366 = [GCF of 103,407]/[LCM of 897,366]= 1/109434
Therefore, the GCF of 103/897,407/366 is 1/109434.
To find the highest common factor of 103,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 103 are 1, 103
The factors of 407 are 1, 11, 37, 407
The HCF of 103,407 is 1.
Lets's calculate GCF of 103,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 103
:1,103
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 103,407 . The biggest common factor number is the GCF number.
So the greatest common factor 103,407 is 1.
Lets's calculate LCM of 897,366
3 | 897, 366 |
299, 122 |
∴ So the LCM of the given numbers is 3 x 299 x 122 = 109434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109434
Therefore, the GCF of Fractions 103/897,407/366 is 1/109434
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 897,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,366) x common factors =3 x 1 = 3
LCM(897,366) = ( 897 × 366 ) / 3
LCM(897,366) = 328302 / 3
LCM(897,366) = 109434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 103,407?
The HCF of 103,407 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 103/897, 407/366?
Answer: GCF of Numerators as per given numbers 103/897, 407/366 is
GCF of Numerators i.e. for 103,407 is 1
LCM of denominators i.e. for 897,366 is 109434.
Thus, GCF of Fractions is 1/109434.Finally, GCF of Fractions for 103/897, 407/366 is 1/109434.