Use our free GCF of Fractions Calculator tool to compute the GCF of 13/145, 54/103, 698/799 i.e 1/11933065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/145, 54/103, 698/799.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/145,54/103,698/799
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 13/145,54/103,698/799, numerators are 13,54,698
Denominators are 145,103,799
The GCF of 13,54,698 is 1 .
LCM of 145,103,799 is 11933065.
The greatest common factor of 13/145,54/103,698/799 = [GCF of 13,54,698]/[LCM of 145,103,799]= 1/11933065
Therefore, the GCF of 13/145,54/103,698/799 is 1/11933065.
To find the highest common factor of 13,54,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 698 are 1, 2, 349, 698
The HCF of 13,54,698 is 1.
Lets's calculate GCF of 13,54,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 13,54,698 . The biggest common factor number is the GCF number.
So the greatest common factor 13,54,698 is 1.
Lets's calculate LCM of 145,103,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 11933065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11933065
Therefore, the GCF of Fractions 13/145,54/103,698/799 is 1/11933065
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 145,103,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,103,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,103,799) x common factors =1 x 1 = 1
LCM(145,103,799) = ( 145 × 103 × 799 ) / 1
LCM(145,103,799) = 11933065 / 1
LCM(145,103,799) = 11933065
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,54,698?
The HCF of 13,54,698 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 13/145, 54/103, 698/799?
Answer: GCF of Numerators as per given numbers 13/145, 54/103, 698/799 is
GCF of Numerators i.e. for 13,54,698 is 1
LCM of denominators i.e. for 145,103,799 is 11933065.
Thus, GCF of Fractions is 1/11933065.Finally, GCF of Fractions for 13/145, 54/103, 698/799 is 1/11933065.