Use our free GCF of Fractions Calculator tool to compute the GCF of 44/19, 57/92, 81/636 i.e 1/277932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/19, 57/92, 81/636.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/19,57/92,81/636
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 44/19,57/92,81/636, numerators are 44,57,81
Denominators are 19,92,636
The GCF of 44,57,81 is 1 .
LCM of 19,92,636 is 277932.
The greatest common factor of 44/19,57/92,81/636 = [GCF of 44,57,81]/[LCM of 19,92,636]= 1/277932
Therefore, the GCF of 44/19,57/92,81/636 is 1/277932.
To find the highest common factor of 44,57,81, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 57 are 1, 3, 19, 57
The factors of 81 are 1, 3, 9, 27, 81
The HCF of 44,57,81 is 1.
Lets's calculate GCF of 44,57,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 81
:1,3,9,27,81
Greatest Common Factor
We found the factors 44,57,81 . The biggest common factor number is the GCF number.
So the greatest common factor 44,57,81 is 1.
Lets's calculate LCM of 19,92,636
2 | 19, 92, 636 |
2 | 19, 46, 318 |
19, 23, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 159 = 277932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277932
Therefore, the GCF of Fractions 44/19,57/92,81/636 is 1/277932
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 19,92,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,92,636) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(19,92,636) x common factors =1 x 4 = 4
LCM(19,92,636) = ( 19 × 92 × 636 ) / 4
LCM(19,92,636) = 1111728 / 4
LCM(19,92,636) = 277932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 44,57,81?
The HCF of 44,57,81 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 44/19, 57/92, 81/636?
Answer: GCF of Numerators as per given numbers 44/19, 57/92, 81/636 is
GCF of Numerators i.e. for 44,57,81 is 1
LCM of denominators i.e. for 19,92,636 is 277932.
Thus, GCF of Fractions is 1/277932.Finally, GCF of Fractions for 44/19, 57/92, 81/636 is 1/277932.