Use our free GCF of Fractions Calculator tool to compute the GCF of 89/28, 134/76, 311/804 i.e 1/106932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/28, 134/76, 311/804.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/28,134/76,311/804
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 89/28,134/76,311/804, numerators are 89,134,311
Denominators are 28,76,804
The GCF of 89,134,311 is 1 .
LCM of 28,76,804 is 106932.
The greatest common factor of 89/28,134/76,311/804 = [GCF of 89,134,311]/[LCM of 28,76,804]= 1/106932
Therefore, the GCF of 89/28,134/76,311/804 is 1/106932.
To find the highest common factor of 89,134,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 134 are 1, 2, 67, 134
The factors of 311 are 1, 311
The HCF of 89,134,311 is 1.
Lets's calculate GCF of 89,134,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 89
:1,89
Now, list down the factors of 134
:1,2,67,134
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 89,134,311 . The biggest common factor number is the GCF number.
So the greatest common factor 89,134,311 is 1.
Lets's calculate LCM of 28,76,804
2 | 28, 76, 804 |
2 | 14, 38, 402 |
7, 19, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 201 = 106932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106932
Therefore, the GCF of Fractions 89/28,134/76,311/804 is 1/106932
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 28,76,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,76,804) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(28,76,804) x common factors =4 x 4 = 16
LCM(28,76,804) = ( 28 × 76 × 804 ) / 16
LCM(28,76,804) = 1710912 / 16
LCM(28,76,804) = 106932
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,134,311?
The HCF of 89,134,311 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 89/28, 134/76, 311/804?
Answer: GCF of Numerators as per given numbers 89/28, 134/76, 311/804 is
GCF of Numerators i.e. for 89,134,311 is 1
LCM of denominators i.e. for 28,76,804 is 106932.
Thus, GCF of Fractions is 1/106932.Finally, GCF of Fractions for 89/28, 134/76, 311/804 is 1/106932.