Use our free GCF of Fractions Calculator tool to compute the GCF of 968/846, 863/184 i.e 1/77832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/846, 863/184.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/846,863/184
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 968/846,863/184, numerators are 968,863
Denominators are 846,184
The GCF of 968,863 is 1 .
LCM of 846,184 is 77832.
The greatest common factor of 968/846,863/184 = [GCF of 968,863]/[LCM of 846,184]= 1/77832
Therefore, the GCF of 968/846,863/184 is 1/77832.
To find the highest common factor of 968,863, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 863 are 1, 863
The HCF of 968,863 is 1.
Lets's calculate GCF of 968,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 863
:1,863
Greatest Common Factor
We found the factors 968,863 . The biggest common factor number is the GCF number.
So the greatest common factor 968,863 is 1.
Lets's calculate LCM of 846,184
2 | 846, 184 |
423, 92 |
∴ So the LCM of the given numbers is 2 x 423 x 92 = 77832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77832
Therefore, the GCF of Fractions 968/846,863/184 is 1/77832
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 846,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,184) x common factors =2 x 1 = 2
LCM(846,184) = ( 846 × 184 ) / 2
LCM(846,184) = 155664 / 2
LCM(846,184) = 77832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 968,863?
The HCF of 968,863 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 968/846, 863/184?
Answer: GCF of Numerators as per given numbers 968/846, 863/184 is
GCF of Numerators i.e. for 968,863 is 1
LCM of denominators i.e. for 846,184 is 77832.
Thus, GCF of Fractions is 1/77832.Finally, GCF of Fractions for 968/846, 863/184 is 1/77832.