Use our free GCF of Fractions Calculator tool to compute the GCF of 11/450, 87/756 i.e 1/18900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/450, 87/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/450,87/756
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 11/450,87/756, numerators are 11,87
Denominators are 450,756
The GCF of 11,87 is 1 .
LCM of 450,756 is 18900.
The greatest common factor of 11/450,87/756 = [GCF of 11,87]/[LCM of 450,756]= 1/18900
Therefore, the GCF of 11/450,87/756 is 1/18900.
To find the highest common factor of 11,87, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 87 are 1, 3, 29, 87
The HCF of 11,87 is 1.
Lets's calculate GCF of 11,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 450,756
2 | 450, 756 |
3 | 225, 378 |
3 | 75, 126 |
25, 42 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 42 = 18900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18900
Therefore, the GCF of Fractions 11/450,87/756 is 1/18900
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 450,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,756) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(450,756) x common factors =18 x 1 = 18
LCM(450,756) = ( 450 × 756 ) / 18
LCM(450,756) = 340200 / 18
LCM(450,756) = 18900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,87?
The HCF of 11,87 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 11/450, 87/756?
Answer: GCF of Numerators as per given numbers 11/450, 87/756 is
GCF of Numerators i.e. for 11,87 is 1
LCM of denominators i.e. for 450,756 is 18900.
Thus, GCF of Fractions is 1/18900.Finally, GCF of Fractions for 11/450, 87/756 is 1/18900.