Use our free GCF of Fractions Calculator tool to compute the GCF of 96/31, 566/93, 696/787 i.e 2/73191 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/31, 566/93, 696/787.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/31,566/93,696/787
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 96/31,566/93,696/787, numerators are 96,566,696
Denominators are 31,93,787
The GCF of 96,566,696 is 2 .
LCM of 31,93,787 is 73191.
The greatest common factor of 96/31,566/93,696/787 = [GCF of 96,566,696]/[LCM of 31,93,787]= 2/73191
Therefore, the GCF of 96/31,566/93,696/787 is 2/73191.
To find the highest common factor of 96,566,696, 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 566 are 1, 2, 283, 566
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 96,566,696 is 2.
Lets's calculate GCF of 96,566,696
2 | 96, 566, 696 |
48, 283, 348 |
∴ So the GCF of the given numbers is 2 = 2
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 566
:1,2,283,566
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 96,566,696 . The biggest common factor number is the GCF number.
So the greatest common factor 96,566,696 is 2.
Lets's calculate LCM of 31,93,787
31 | 31, 93, 787 |
1, 3, 787 |
∴ So the LCM of the given numbers is 31 x 1 x 3 x 787 = 73191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/73191
Therefore, the GCF of Fractions 96/31,566/93,696/787 is 2/73191
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 31,93,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,93,787) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,93,787) x common factors =1 x 31 = 31
LCM(31,93,787) = ( 31 × 93 × 787 ) / 31
LCM(31,93,787) = 2268921 / 31
LCM(31,93,787) = 73191
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,566,696?
The HCF of 96,566,696 is 2
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 96/31, 566/93, 696/787?
Answer: GCF of Numerators as per given numbers 96/31, 566/93, 696/787 is
GCF of Numerators i.e. for 96,566,696 is 2
LCM of denominators i.e. for 31,93,787 is 73191.
Thus, GCF of Fractions is 2/73191.Finally, GCF of Fractions for 96/31, 566/93, 696/787 is 2/73191.