Use our free GCF of Fractions Calculator tool to compute the GCF of 913/652, 275/790 i.e 11/257540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/652, 275/790.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/652,275/790
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 913/652,275/790, numerators are 913,275
Denominators are 652,790
The GCF of 913,275 is 11 .
LCM of 652,790 is 257540.
The greatest common factor of 913/652,275/790 = [GCF of 913,275]/[LCM of 652,790]= 11/257540
Therefore, the GCF of 913/652,275/790 is 11/257540.
To find the highest common factor of 913,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 913,275 is 11.
Lets's calculate GCF of 913,275
11 | 913, 275 |
83, 25 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 913,275 . The biggest common factor number is the GCF number.
So the greatest common factor 913,275 is 11.
Lets's calculate LCM of 652,790
2 | 652, 790 |
326, 395 |
∴ So the LCM of the given numbers is 2 x 326 x 395 = 257540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/257540
Therefore, the GCF of Fractions 913/652,275/790 is 11/257540
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 652,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,790) x common factors =2 x 1 = 2
LCM(652,790) = ( 652 × 790 ) / 2
LCM(652,790) = 515080 / 2
LCM(652,790) = 257540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 913,275?
The HCF of 913,275 is 11
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 913/652, 275/790?
Answer: GCF of Numerators as per given numbers 913/652, 275/790 is
GCF of Numerators i.e. for 913,275 is 11
LCM of denominators i.e. for 652,790 is 257540.
Thus, GCF of Fractions is 11/257540.Finally, GCF of Fractions for 913/652, 275/790 is 11/257540.