Use our free GCF of Fractions Calculator tool to compute the GCF of 96/91, 285/49, 512/127 i.e 1/80899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/91, 285/49, 512/127.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/91,285/49,512/127
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 96/91,285/49,512/127, numerators are 96,285,512
Denominators are 91,49,127
The GCF of 96,285,512 is 1 .
LCM of 91,49,127 is 80899.
The greatest common factor of 96/91,285/49,512/127 = [GCF of 96,285,512]/[LCM of 91,49,127]= 1/80899
Therefore, the GCF of 96/91,285/49,512/127 is 1/80899.
To find the highest common factor of 96,285,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 96,285,512 is 1.
Lets's calculate GCF of 96,285,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 96,285,512 . The biggest common factor number is the GCF number.
So the greatest common factor 96,285,512 is 1.
Lets's calculate LCM of 91,49,127
7 | 91, 49, 127 |
13, 7, 127 |
∴ So the LCM of the given numbers is 7 x 13 x 7 x 127 = 80899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80899
Therefore, the GCF of Fractions 96/91,285/49,512/127 is 1/80899
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 91,49,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,49,127) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,49,127) x common factors =1 x 7 = 7
LCM(91,49,127) = ( 91 × 49 × 127 ) / 7
LCM(91,49,127) = 566293 / 7
LCM(91,49,127) = 80899
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,285,512?
The HCF of 96,285,512 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 96/91, 285/49, 512/127?
Answer: GCF of Numerators as per given numbers 96/91, 285/49, 512/127 is
GCF of Numerators i.e. for 96,285,512 is 1
LCM of denominators i.e. for 91,49,127 is 80899.
Thus, GCF of Fractions is 1/80899.Finally, GCF of Fractions for 96/91, 285/49, 512/127 is 1/80899.