Use our free GCF of Fractions Calculator tool to compute the GCF of 96/304, 919/687, 663/787 i.e 1/164363376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/304, 919/687, 663/787.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/304,919/687,663/787
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 96/304,919/687,663/787, numerators are 96,919,663
Denominators are 304,687,787
The GCF of 96,919,663 is 1 .
LCM of 304,687,787 is 164363376.
The greatest common factor of 96/304,919/687,663/787 = [GCF of 96,919,663]/[LCM of 304,687,787]= 1/164363376
Therefore, the GCF of 96/304,919/687,663/787 is 1/164363376.
To find the highest common factor of 96,919,663, 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 919 are 1, 919
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 96,919,663 is 1.
Lets's calculate GCF of 96,919,663
∴ 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 919
:1,919
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 96,919,663 . The biggest common factor number is the GCF number.
So the greatest common factor 96,919,663 is 1.
Lets's calculate LCM of 304,687,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 164363376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164363376
Therefore, the GCF of Fractions 96/304,919/687,663/787 is 1/164363376
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 304,687,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,687,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,687,787) x common factors =1 x 1 = 1
LCM(304,687,787) = ( 304 × 687 × 787 ) / 1
LCM(304,687,787) = 164363376 / 1
LCM(304,687,787) = 164363376
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,919,663?
The HCF of 96,919,663 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 96/304, 919/687, 663/787?
Answer: GCF of Numerators as per given numbers 96/304, 919/687, 663/787 is
GCF of Numerators i.e. for 96,919,663 is 1
LCM of denominators i.e. for 304,687,787 is 164363376.
Thus, GCF of Fractions is 1/164363376.Finally, GCF of Fractions for 96/304, 919/687, 663/787 is 1/164363376.