Use our free GCF of Fractions Calculator tool to compute the GCF of 915/388, 957/597 i.e 3/231636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/388, 957/597.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/388,957/597
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 915/388,957/597, numerators are 915,957
Denominators are 388,597
The GCF of 915,957 is 3 .
LCM of 388,597 is 231636.
The greatest common factor of 915/388,957/597 = [GCF of 915,957]/[LCM of 388,597]= 3/231636
Therefore, the GCF of 915/388,957/597 is 3/231636.
To find the highest common factor of 915,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 915,957 is 3.
Lets's calculate GCF of 915,957
3 | 915, 957 |
305, 319 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 915,957 . The biggest common factor number is the GCF number.
So the greatest common factor 915,957 is 3.
Lets's calculate LCM of 388,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 231636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231636
Therefore, the GCF of Fractions 915/388,957/597 is 3/231636
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 388,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,597) x common factors =1 x 1 = 1
LCM(388,597) = ( 388 × 597 ) / 1
LCM(388,597) = 231636 / 1
LCM(388,597) = 231636
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 915,957?
The HCF of 915,957 is 3
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 915/388, 957/597?
Answer: GCF of Numerators as per given numbers 915/388, 957/597 is
GCF of Numerators i.e. for 915,957 is 3
LCM of denominators i.e. for 388,597 is 231636.
Thus, GCF of Fractions is 3/231636.Finally, GCF of Fractions for 915/388, 957/597 is 3/231636.