Use our free GCF of Fractions Calculator tool to compute the GCF of 48/18, 322/78, 863/784 i.e 1/91728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/18, 322/78, 863/784.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/18,322/78,863/784
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 48/18,322/78,863/784, numerators are 48,322,863
Denominators are 18,78,784
The GCF of 48,322,863 is 1 .
LCM of 18,78,784 is 91728.
The greatest common factor of 48/18,322/78,863/784 = [GCF of 48,322,863]/[LCM of 18,78,784]= 1/91728
Therefore, the GCF of 48/18,322/78,863/784 is 1/91728.
To find the highest common factor of 48,322,863, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The factors of 863 are 1, 863
The HCF of 48,322,863 is 1.
Lets's calculate GCF of 48,322,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Now, list down the factors of 863
:1,863
Greatest Common Factor
We found the factors 48,322,863 . The biggest common factor number is the GCF number.
So the greatest common factor 48,322,863 is 1.
Lets's calculate LCM of 18,78,784
2 | 18, 78, 784 |
3 | 9, 39, 392 |
3, 13, 392 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 392 = 91728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91728
Therefore, the GCF of Fractions 48/18,322/78,863/784 is 1/91728
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 18,78,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,78,784) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(18,78,784) x common factors =2 x 6 = 12
LCM(18,78,784) = ( 18 × 78 × 784 ) / 12
LCM(18,78,784) = 1100736 / 12
LCM(18,78,784) = 91728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,322,863?
The HCF of 48,322,863 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 48/18, 322/78, 863/784?
Answer: GCF of Numerators as per given numbers 48/18, 322/78, 863/784 is
GCF of Numerators i.e. for 48,322,863 is 1
LCM of denominators i.e. for 18,78,784 is 91728.
Thus, GCF of Fractions is 1/91728.Finally, GCF of Fractions for 48/18, 322/78, 863/784 is 1/91728.