Use our free GCF of Fractions Calculator tool to compute the GCF of 301/635, 4708/864 i.e 1/548640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/635, 4708/864.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/635,4708/864
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 301/635,4708/864, numerators are 301,4708
Denominators are 635,864
The GCF of 301,4708 is 1 .
LCM of 635,864 is 548640.
The greatest common factor of 301/635,4708/864 = [GCF of 301,4708]/[LCM of 635,864]= 1/548640
Therefore, the GCF of 301/635,4708/864 is 1/548640.
To find the highest common factor of 301,4708, 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 4708 are 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
The HCF of 301,4708 is 1.
Lets's calculate GCF of 301,4708
∴ 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 4708
:1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 301,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 301,4708 is 1.
Lets's calculate LCM of 635,864
Given numbers has no common factors except 1. So, there LCM is their product i.e 548640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548640
Therefore, the GCF of Fractions 301/635,4708/864 is 1/548640
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 635,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,864) x common factors =1 x 1 = 1
LCM(635,864) = ( 635 × 864 ) / 1
LCM(635,864) = 548640 / 1
LCM(635,864) = 548640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 301,4708?
The HCF of 301,4708 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 301/635, 4708/864?
Answer: GCF of Numerators as per given numbers 301/635, 4708/864 is
GCF of Numerators i.e. for 301,4708 is 1
LCM of denominators i.e. for 635,864 is 548640.
Thus, GCF of Fractions is 1/548640.Finally, GCF of Fractions for 301/635, 4708/864 is 1/548640.