Use our free GCF of Fractions Calculator tool to compute the GCF of 246/231, 2147/2982 i.e 1/32802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/231, 2147/2982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/231,2147/2982
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 246/231,2147/2982, numerators are 246,2147
Denominators are 231,2982
The GCF of 246,2147 is 1 .
LCM of 231,2982 is 32802.
The greatest common factor of 246/231,2147/2982 = [GCF of 246,2147]/[LCM of 231,2982]= 1/32802
Therefore, the GCF of 246/231,2147/2982 is 1/32802.
To find the highest common factor of 246,2147, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 2147 are 1, 19, 113, 2147
The HCF of 246,2147 is 1.
Lets's calculate GCF of 246,2147
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 2147
:1,19,113,2147
Greatest Common Factor
We found the factors 246,2147 . The biggest common factor number is the GCF number.
So the greatest common factor 246,2147 is 1.
Lets's calculate LCM of 231,2982
3 | 231, 2982 |
7 | 77, 994 |
11, 142 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 142 = 32802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32802
Therefore, the GCF of Fractions 246/231,2147/2982 is 1/32802
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 231,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,2982) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(231,2982) x common factors =21 x 1 = 21
LCM(231,2982) = ( 231 × 2982 ) / 21
LCM(231,2982) = 688842 / 21
LCM(231,2982) = 32802
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,2147?
The HCF of 246,2147 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 246/231, 2147/2982?
Answer: GCF of Numerators as per given numbers 246/231, 2147/2982 is
GCF of Numerators i.e. for 246,2147 is 1
LCM of denominators i.e. for 231,2982 is 32802.
Thus, GCF of Fractions is 1/32802.Finally, GCF of Fractions for 246/231, 2147/2982 is 1/32802.