Use our free GCF of Fractions Calculator tool to compute the GCF of 935/959, 711/675 i.e 1/647325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/959, 711/675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/959,711/675
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 935/959,711/675, numerators are 935,711
Denominators are 959,675
The GCF of 935,711 is 1 .
LCM of 959,675 is 647325.
The greatest common factor of 935/959,711/675 = [GCF of 935,711]/[LCM of 959,675]= 1/647325
Therefore, the GCF of 935/959,711/675 is 1/647325.
To find the highest common factor of 935,711, 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 711 are 1, 3, 9, 79, 237, 711
The HCF of 935,711 is 1.
Lets's calculate GCF of 935,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 935,711 . The biggest common factor number is the GCF number.
So the greatest common factor 935,711 is 1.
Lets's calculate LCM of 959,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 647325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647325
Therefore, the GCF of Fractions 935/959,711/675 is 1/647325
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 959,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,675) x common factors =1 x 1 = 1
LCM(959,675) = ( 959 × 675 ) / 1
LCM(959,675) = 647325 / 1
LCM(959,675) = 647325
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 935,711?
The HCF of 935,711 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 935/959, 711/675?
Answer: GCF of Numerators as per given numbers 935/959, 711/675 is
GCF of Numerators i.e. for 935,711 is 1
LCM of denominators i.e. for 959,675 is 647325.
Thus, GCF of Fractions is 1/647325.Finally, GCF of Fractions for 935/959, 711/675 is 1/647325.