Use our free GCF of Fractions Calculator tool to compute the GCF of 35/788, 68/388, 117/958 i.e 1/36612844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/788, 68/388, 117/958.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/788,68/388,117/958
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 35/788,68/388,117/958, numerators are 35,68,117
Denominators are 788,388,958
The GCF of 35,68,117 is 1 .
LCM of 788,388,958 is 36612844.
The greatest common factor of 35/788,68/388,117/958 = [GCF of 35,68,117]/[LCM of 788,388,958]= 1/36612844
Therefore, the GCF of 35/788,68/388,117/958 is 1/36612844.
To find the highest common factor of 35,68,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 35,68,117 is 1.
Lets's calculate GCF of 35,68,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 35,68,117 . The biggest common factor number is the GCF number.
So the greatest common factor 35,68,117 is 1.
Lets's calculate LCM of 788,388,958
2 | 788, 388, 958 |
2 | 394, 194, 479 |
197, 97, 479 |
∴ So the LCM of the given numbers is 2 x 2 x 197 x 97 x 479 = 36612844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36612844
Therefore, the GCF of Fractions 35/788,68/388,117/958 is 1/36612844
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 788,388,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,388,958) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(788,388,958) x common factors =2 x 4 = 8
LCM(788,388,958) = ( 788 × 388 × 958 ) / 8
LCM(788,388,958) = 292902752 / 8
LCM(788,388,958) = 36612844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,68,117?
The HCF of 35,68,117 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 35/788, 68/388, 117/958?
Answer: GCF of Numerators as per given numbers 35/788, 68/388, 117/958 is
GCF of Numerators i.e. for 35,68,117 is 1
LCM of denominators i.e. for 788,388,958 is 36612844.
Thus, GCF of Fractions is 1/36612844.Finally, GCF of Fractions for 35/788, 68/388, 117/958 is 1/36612844.