Use our free GCF of Fractions Calculator tool to compute the GCF of 50/208, 40/444, 546/711 i.e 2/5471856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/208, 40/444, 546/711.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/208,40/444,546/711
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 50/208,40/444,546/711, numerators are 50,40,546
Denominators are 208,444,711
The GCF of 50,40,546 is 2 .
LCM of 208,444,711 is 5471856.
The greatest common factor of 50/208,40/444,546/711 = [GCF of 50,40,546]/[LCM of 208,444,711]= 2/5471856
Therefore, the GCF of 50/208,40/444,546/711 is 2/5471856.
To find the highest common factor of 50,40,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 50,40,546 is 2.
Lets's calculate GCF of 50,40,546
2 | 50, 40, 546 |
25, 20, 273 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 50,40,546 . The biggest common factor number is the GCF number.
So the greatest common factor 50,40,546 is 2.
Lets's calculate LCM of 208,444,711
2 | 208, 444, 711 |
2 | 104, 222, 711 |
3 | 52, 111, 711 |
52, 37, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 52 x 37 x 237 = 5471856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5471856
Therefore, the GCF of Fractions 50/208,40/444,546/711 is 2/5471856
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 208,444,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,444,711) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(208,444,711) x common factors =1 x 12 = 12
LCM(208,444,711) = ( 208 × 444 × 711 ) / 12
LCM(208,444,711) = 65662272 / 12
LCM(208,444,711) = 5471856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,40,546?
The HCF of 50,40,546 is 2
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 50/208, 40/444, 546/711?
Answer: GCF of Numerators as per given numbers 50/208, 40/444, 546/711 is
GCF of Numerators i.e. for 50,40,546 is 2
LCM of denominators i.e. for 208,444,711 is 5471856.
Thus, GCF of Fractions is 2/5471856.Finally, GCF of Fractions for 50/208, 40/444, 546/711 is 2/5471856.