Use our free GCF of Fractions Calculator tool to compute the GCF of 3/11, 81/83, 48/850, 378/277 i.e 3/214965850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/11, 81/83, 48/850, 378/277.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/11,81/83,48/850,378/277
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 3/11,81/83,48/850,378/277, numerators are 3,81,48,378
Denominators are 11,83,850,277
The GCF of 3,81,48,378 is 3 .
LCM of 11,83,850,277 is 214965850.
The greatest common factor of 3/11,81/83,48/850,378/277 = [GCF of 3,81,48,378]/[LCM of 11,83,850,277]= 3/214965850
Therefore, the GCF of 3/11,81/83,48/850,378/277 is 3/214965850.
To find the highest common factor of 3,81,48,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 81 are 1, 3, 9, 27, 81
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 3,81,48,378 is 3.
Lets's calculate GCF of 3,81,48,378
3 | 3, 81, 48, 378 |
1, 27, 16, 126 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 3
:1,3
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 3,81,48,378 . The biggest common factor number is the GCF number.
So the greatest common factor 3,81,48,378 is 3.
Lets's calculate LCM of 11,83,850,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 214965850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/214965850
Therefore, the GCF of Fractions 3/11,81/83,48/850,378/277 is 3/214965850
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 11,83,850,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,83,850,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,83,850,277) x common factors =1 x 1 = 1
LCM(11,83,850,277) = ( 11 × 83 × 850 × 277 ) / 1
LCM(11,83,850,277) = 214965850 / 1
LCM(11,83,850,277) = 214965850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,81,48,378?
The HCF of 3,81,48,378 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 3/11, 81/83, 48/850, 378/277?
Answer: GCF of Numerators as per given numbers 3/11, 81/83, 48/850, 378/277 is
GCF of Numerators i.e. for 3,81,48,378 is 3
LCM of denominators i.e. for 11,83,850,277 is 214965850.
Thus, GCF of Fractions is 3/214965850.Finally, GCF of Fractions for 3/11, 81/83, 48/850, 378/277 is 3/214965850.