Use our free GCF of Fractions Calculator tool to compute the GCF of 470/655, 386/297 i.e 2/194535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/655, 386/297.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/655,386/297
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 470/655,386/297, numerators are 470,386
Denominators are 655,297
The GCF of 470,386 is 2 .
LCM of 655,297 is 194535.
The greatest common factor of 470/655,386/297 = [GCF of 470,386]/[LCM of 655,297]= 2/194535
Therefore, the GCF of 470/655,386/297 is 2/194535.
To find the highest common factor of 470,386, we have to find the factors of both numbers and list the highest common factor.
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 386 are 1, 2, 193, 386
The HCF of 470,386 is 2.
Lets's calculate GCF of 470,386
2 | 470, 386 |
235, 193 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 386
:1,2,193,386
Greatest Common Factor
We found the factors 470,386 . The biggest common factor number is the GCF number.
So the greatest common factor 470,386 is 2.
Lets's calculate LCM of 655,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 194535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194535
Therefore, the GCF of Fractions 470/655,386/297 is 2/194535
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 655,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,297) x common factors =1 x 1 = 1
LCM(655,297) = ( 655 × 297 ) / 1
LCM(655,297) = 194535 / 1
LCM(655,297) = 194535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 470,386?
The HCF of 470,386 is 2
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 470/655, 386/297?
Answer: GCF of Numerators as per given numbers 470/655, 386/297 is
GCF of Numerators i.e. for 470,386 is 2
LCM of denominators i.e. for 655,297 is 194535.
Thus, GCF of Fractions is 2/194535.Finally, GCF of Fractions for 470/655, 386/297 is 2/194535.