Use our free GCF of Fractions Calculator tool to compute the GCF of 718/779, 135/969 i.e 1/39729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/779, 135/969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/779,135/969
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 718/779,135/969, numerators are 718,135
Denominators are 779,969
The GCF of 718,135 is 1 .
LCM of 779,969 is 39729.
The greatest common factor of 718/779,135/969 = [GCF of 718,135]/[LCM of 779,969]= 1/39729
Therefore, the GCF of 718/779,135/969 is 1/39729.
To find the highest common factor of 718,135, we have to find the factors of both numbers and list the highest common factor.
The factors of 718 are 1, 2, 359, 718
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The HCF of 718,135 is 1.
Lets's calculate GCF of 718,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 718
:1,2,359,718
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 718,135 . The biggest common factor number is the GCF number.
So the greatest common factor 718,135 is 1.
Lets's calculate LCM of 779,969
19 | 779, 969 |
41, 51 |
∴ So the LCM of the given numbers is 19 x 41 x 51 = 39729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39729
Therefore, the GCF of Fractions 718/779,135/969 is 1/39729
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 779,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,969) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(779,969) x common factors =19 x 1 = 19
LCM(779,969) = ( 779 × 969 ) / 19
LCM(779,969) = 754851 / 19
LCM(779,969) = 39729
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 718,135?
The HCF of 718,135 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 718/779, 135/969?
Answer: GCF of Numerators as per given numbers 718/779, 135/969 is
GCF of Numerators i.e. for 718,135 is 1
LCM of denominators i.e. for 779,969 is 39729.
Thus, GCF of Fractions is 1/39729.Finally, GCF of Fractions for 718/779, 135/969 is 1/39729.