Use our free GCF of Fractions Calculator tool to compute the GCF of 301/655, 655/315 i.e 1/41265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/655, 655/315.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/655,655/315
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 301/655,655/315, numerators are 301,655
Denominators are 655,315
The GCF of 301,655 is 1 .
LCM of 655,315 is 41265.
The greatest common factor of 301/655,655/315 = [GCF of 301,655]/[LCM of 655,315]= 1/41265
Therefore, the GCF of 301/655,655/315 is 1/41265.
To find the highest common factor of 301,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 655 are 1, 5, 131, 655
The HCF of 301,655 is 1.
Lets's calculate GCF of 301,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 301,655 . The biggest common factor number is the GCF number.
So the greatest common factor 301,655 is 1.
Lets's calculate LCM of 655,315
5 | 655, 315 |
131, 63 |
∴ So the LCM of the given numbers is 5 x 131 x 63 = 41265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41265
Therefore, the GCF of Fractions 301/655,655/315 is 1/41265
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 655,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,315) x common factors =5 x 1 = 5
LCM(655,315) = ( 655 × 315 ) / 5
LCM(655,315) = 206325 / 5
LCM(655,315) = 41265
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 301,655?
The HCF of 301,655 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 301/655, 655/315?
Answer: GCF of Numerators as per given numbers 301/655, 655/315 is
GCF of Numerators i.e. for 301,655 is 1
LCM of denominators i.e. for 655,315 is 41265.
Thus, GCF of Fractions is 1/41265.Finally, GCF of Fractions for 301/655, 655/315 is 1/41265.