Use our free GCF of Fractions Calculator tool to compute the GCF of 935/661, 735/434 i.e 5/286874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/661, 735/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/661,735/434
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 935/661,735/434, numerators are 935,735
Denominators are 661,434
The GCF of 935,735 is 5 .
LCM of 661,434 is 286874.
The greatest common factor of 935/661,735/434 = [GCF of 935,735]/[LCM of 661,434]= 5/286874
Therefore, the GCF of 935/661,735/434 is 5/286874.
To find the highest common factor of 935,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 935,735 is 5.
Lets's calculate GCF of 935,735
5 | 935, 735 |
187, 147 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 935,735 . The biggest common factor number is the GCF number.
So the greatest common factor 935,735 is 5.
Lets's calculate LCM of 661,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 286874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/286874
Therefore, the GCF of Fractions 935/661,735/434 is 5/286874
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 661,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,434) x common factors =1 x 1 = 1
LCM(661,434) = ( 661 × 434 ) / 1
LCM(661,434) = 286874 / 1
LCM(661,434) = 286874
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 935,735?
The HCF of 935,735 is 5
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 935/661, 735/434?
Answer: GCF of Numerators as per given numbers 935/661, 735/434 is
GCF of Numerators i.e. for 935,735 is 5
LCM of denominators i.e. for 661,434 is 286874.
Thus, GCF of Fractions is 5/286874.Finally, GCF of Fractions for 935/661, 735/434 is 5/286874.