Use our free GCF of Fractions Calculator tool to compute the GCF of 141/188, 747/286 i.e 3/26884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/188, 747/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/188,747/286
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 141/188,747/286, numerators are 141,747
Denominators are 188,286
The GCF of 141,747 is 3 .
LCM of 188,286 is 26884.
The greatest common factor of 141/188,747/286 = [GCF of 141,747]/[LCM of 188,286]= 3/26884
Therefore, the GCF of 141/188,747/286 is 3/26884.
To find the highest common factor of 141,747, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 747 are 1, 3, 9, 83, 249, 747
The HCF of 141,747 is 3.
Lets's calculate GCF of 141,747
3 | 141, 747 |
47, 249 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 141,747 . The biggest common factor number is the GCF number.
So the greatest common factor 141,747 is 3.
Lets's calculate LCM of 188,286
2 | 188, 286 |
94, 143 |
∴ So the LCM of the given numbers is 2 x 94 x 143 = 26884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26884
Therefore, the GCF of Fractions 141/188,747/286 is 3/26884
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 188,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,286) x common factors =2 x 1 = 2
LCM(188,286) = ( 188 × 286 ) / 2
LCM(188,286) = 53768 / 2
LCM(188,286) = 26884
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 141,747?
The HCF of 141,747 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 141/188, 747/286?
Answer: GCF of Numerators as per given numbers 141/188, 747/286 is
GCF of Numerators i.e. for 141,747 is 3
LCM of denominators i.e. for 188,286 is 26884.
Thus, GCF of Fractions is 3/26884.Finally, GCF of Fractions for 141/188, 747/286 is 3/26884.