Use our free GCF of Fractions Calculator tool to compute the GCF of 113/648, 719/729 i.e 1/5832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 113/648, 719/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/648,719/729
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 113/648,719/729, numerators are 113,719
Denominators are 648,729
The GCF of 113,719 is 1 .
LCM of 648,729 is 5832.
The greatest common factor of 113/648,719/729 = [GCF of 113,719]/[LCM of 648,729]= 1/5832
Therefore, the GCF of 113/648,719/729 is 1/5832.
To find the highest common factor of 113,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 113 are 1, 113
The factors of 719 are 1, 719
The HCF of 113,719 is 1.
Lets's calculate GCF of 113,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 113
:1,113
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 113,719 . The biggest common factor number is the GCF number.
So the greatest common factor 113,719 is 1.
Lets's calculate LCM of 648,729
3 | 648, 729 |
3 | 216, 243 |
3 | 72, 81 |
3 | 24, 27 |
8, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 8 x 9 = 5832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5832
Therefore, the GCF of Fractions 113/648,719/729 is 1/5832
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 648,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,729) = 81
common factors(in case of two or more numbers have common factors) = 1
GCF(648,729) x common factors =81 x 1 = 81
LCM(648,729) = ( 648 × 729 ) / 81
LCM(648,729) = 472392 / 81
LCM(648,729) = 5832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 113,719?
The HCF of 113,719 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 113/648, 719/729?
Answer: GCF of Numerators as per given numbers 113/648, 719/729 is
GCF of Numerators i.e. for 113,719 is 1
LCM of denominators i.e. for 648,729 is 5832.
Thus, GCF of Fractions is 1/5832.Finally, GCF of Fractions for 113/648, 719/729 is 1/5832.