Use our free GCF of Fractions Calculator tool to compute the GCF of 739/350, 116/175 i.e 1/350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/350, 116/175.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 739/350,116/175
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 739/350,116/175, numerators are 739,116
Denominators are 350,175
The GCF of 739,116 is 1 .
LCM of 350,175 is 350.
The greatest common factor of 739/350,116/175 = [GCF of 739,116]/[LCM of 350,175]= 1/350
Therefore, the GCF of 739/350,116/175 is 1/350.
To find the highest common factor of 739,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 739 are 1, 739
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 739,116 is 1.
Lets's calculate GCF of 739,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 739
:1,739
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 739,116 . The biggest common factor number is the GCF number.
So the greatest common factor 739,116 is 1.
Lets's calculate LCM of 350,175
5 | 350, 175 |
5 | 70, 35 |
7 | 14, 7 |
2, 1 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 2 x 1 = 350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350
Therefore, the GCF of Fractions 739/350,116/175 is 1/350
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 350,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,175) = 175
common factors(in case of two or more numbers have common factors) = 1
GCF(350,175) x common factors =175 x 1 = 175
LCM(350,175) = ( 350 × 175 ) / 175
LCM(350,175) = 61250 / 175
LCM(350,175) = 350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 739,116?
The HCF of 739,116 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 739/350, 116/175?
Answer: GCF of Numerators as per given numbers 739/350, 116/175 is
GCF of Numerators i.e. for 739,116 is 1
LCM of denominators i.e. for 350,175 is 350.
Thus, GCF of Fractions is 1/350.Finally, GCF of Fractions for 739/350, 116/175 is 1/350.