Use our free GCF of Fractions Calculator tool to compute the GCF of 288/509, 403/235 i.e 1/119615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/509, 403/235.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/509,403/235
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 288/509,403/235, numerators are 288,403
Denominators are 509,235
The GCF of 288,403 is 1 .
LCM of 509,235 is 119615.
The greatest common factor of 288/509,403/235 = [GCF of 288,403]/[LCM of 509,235]= 1/119615
Therefore, the GCF of 288/509,403/235 is 1/119615.
To find the highest common factor of 288,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 403 are 1, 13, 31, 403
The HCF of 288,403 is 1.
Lets's calculate GCF of 288,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 288,403 . The biggest common factor number is the GCF number.
So the greatest common factor 288,403 is 1.
Lets's calculate LCM of 509,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 119615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119615
Therefore, the GCF of Fractions 288/509,403/235 is 1/119615
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 509,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,235) x common factors =1 x 1 = 1
LCM(509,235) = ( 509 × 235 ) / 1
LCM(509,235) = 119615 / 1
LCM(509,235) = 119615
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 288,403?
The HCF of 288,403 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 288/509, 403/235?
Answer: GCF of Numerators as per given numbers 288/509, 403/235 is
GCF of Numerators i.e. for 288,403 is 1
LCM of denominators i.e. for 509,235 is 119615.
Thus, GCF of Fractions is 1/119615.Finally, GCF of Fractions for 288/509, 403/235 is 1/119615.