Use our free GCF of Fractions Calculator tool to compute the GCF of 288/687, 764/150 i.e 4/34350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/687, 764/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/687,764/150
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 288/687,764/150, numerators are 288,764
Denominators are 687,150
The GCF of 288,764 is 4 .
LCM of 687,150 is 34350.
The greatest common factor of 288/687,764/150 = [GCF of 288,764]/[LCM of 687,150]= 4/34350
Therefore, the GCF of 288/687,764/150 is 4/34350.
To find the highest common factor of 288,764, 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 764 are 1, 2, 4, 191, 382, 764
The HCF of 288,764 is 4.
Lets's calculate GCF of 288,764
2 | 288, 764 |
2 | 144, 382 |
72, 191 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 764
:1,2,4,191,382,764
Greatest Common Factor
We found the factors 288,764 . The biggest common factor number is the GCF number.
So the greatest common factor 288,764 is 4.
Lets's calculate LCM of 687,150
3 | 687, 150 |
229, 50 |
∴ So the LCM of the given numbers is 3 x 229 x 50 = 34350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34350
Therefore, the GCF of Fractions 288/687,764/150 is 4/34350
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 687,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,150) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,150) x common factors =3 x 1 = 3
LCM(687,150) = ( 687 × 150 ) / 3
LCM(687,150) = 103050 / 3
LCM(687,150) = 34350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 288,764?
The HCF of 288,764 is 4
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 288/687, 764/150?
Answer: GCF of Numerators as per given numbers 288/687, 764/150 is
GCF of Numerators i.e. for 288,764 is 4
LCM of denominators i.e. for 687,150 is 34350.
Thus, GCF of Fractions is 4/34350.Finally, GCF of Fractions for 288/687, 764/150 is 4/34350.