Use our free GCF of Fractions Calculator tool to compute the GCF of 303/413, 688/748 i.e 1/308924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/413, 688/748.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/413,688/748
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 303/413,688/748, numerators are 303,688
Denominators are 413,748
The GCF of 303,688 is 1 .
LCM of 413,748 is 308924.
The greatest common factor of 303/413,688/748 = [GCF of 303,688]/[LCM of 413,748]= 1/308924
Therefore, the GCF of 303/413,688/748 is 1/308924.
To find the highest common factor of 303,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 303,688 is 1.
Lets's calculate GCF of 303,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 303,688 . The biggest common factor number is the GCF number.
So the greatest common factor 303,688 is 1.
Lets's calculate LCM of 413,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 308924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308924
Therefore, the GCF of Fractions 303/413,688/748 is 1/308924
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 413,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,748) x common factors =1 x 1 = 1
LCM(413,748) = ( 413 × 748 ) / 1
LCM(413,748) = 308924 / 1
LCM(413,748) = 308924
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 303,688?
The HCF of 303,688 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 303/413, 688/748?
Answer: GCF of Numerators as per given numbers 303/413, 688/748 is
GCF of Numerators i.e. for 303,688 is 1
LCM of denominators i.e. for 413,748 is 308924.
Thus, GCF of Fractions is 1/308924.Finally, GCF of Fractions for 303/413, 688/748 is 1/308924.