Use our free GCF of Fractions Calculator tool to compute the GCF of 96/14, 222/82, 927/997 i.e 3/572278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/14, 222/82, 927/997.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/14,222/82,927/997
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 96/14,222/82,927/997, numerators are 96,222,927
Denominators are 14,82,997
The GCF of 96,222,927 is 3 .
LCM of 14,82,997 is 572278.
The greatest common factor of 96/14,222/82,927/997 = [GCF of 96,222,927]/[LCM of 14,82,997]= 3/572278
Therefore, the GCF of 96/14,222/82,927/997 is 3/572278.
To find the highest common factor of 96,222,927, 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 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 96,222,927 is 3.
Lets's calculate GCF of 96,222,927
3 | 96, 222, 927 |
32, 74, 309 |
∴ So the GCF of the given numbers is 3 = 3
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 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 96,222,927 . The biggest common factor number is the GCF number.
So the greatest common factor 96,222,927 is 3.
Lets's calculate LCM of 14,82,997
2 | 14, 82, 997 |
7, 41, 997 |
∴ So the LCM of the given numbers is 2 x 7 x 41 x 997 = 572278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/572278
Therefore, the GCF of Fractions 96/14,222/82,927/997 is 3/572278
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 14,82,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,82,997) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,82,997) x common factors =1 x 2 = 2
LCM(14,82,997) = ( 14 × 82 × 997 ) / 2
LCM(14,82,997) = 1144556 / 2
LCM(14,82,997) = 572278
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,222,927?
The HCF of 96,222,927 is 3
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 96/14, 222/82, 927/997?
Answer: GCF of Numerators as per given numbers 96/14, 222/82, 927/997 is
GCF of Numerators i.e. for 96,222,927 is 3
LCM of denominators i.e. for 14,82,997 is 572278.
Thus, GCF of Fractions is 3/572278.Finally, GCF of Fractions for 96/14, 222/82, 927/997 is 3/572278.