Use our free GCF of Fractions Calculator tool to compute the GCF of 9042/246, 7159/8077 i.e 1/48462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9042/246, 7159/8077.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9042/246,7159/8077
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 9042/246,7159/8077, numerators are 9042,7159
Denominators are 246,8077
The GCF of 9042,7159 is 1 .
LCM of 246,8077 is 48462.
The greatest common factor of 9042/246,7159/8077 = [GCF of 9042,7159]/[LCM of 246,8077]= 1/48462
Therefore, the GCF of 9042/246,7159/8077 is 1/48462.
To find the highest common factor of 9042,7159, we have to find the factors of both numbers and list the highest common factor.
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The factors of 7159 are 1, 7159
The HCF of 9042,7159 is 1.
Lets's calculate GCF of 9042,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Now, list down the factors of 7159
:1,7159
Greatest Common Factor
We found the factors 9042,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 9042,7159 is 1.
Lets's calculate LCM of 246,8077
41 | 246, 8077 |
6, 197 |
∴ So the LCM of the given numbers is 41 x 6 x 197 = 48462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48462
Therefore, the GCF of Fractions 9042/246,7159/8077 is 1/48462
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 246,8077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,8077) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(246,8077) x common factors =41 x 1 = 41
LCM(246,8077) = ( 246 × 8077 ) / 41
LCM(246,8077) = 1986942 / 41
LCM(246,8077) = 48462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9042,7159?
The HCF of 9042,7159 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 9042/246, 7159/8077?
Answer: GCF of Numerators as per given numbers 9042/246, 7159/8077 is
GCF of Numerators i.e. for 9042,7159 is 1
LCM of denominators i.e. for 246,8077 is 48462.
Thus, GCF of Fractions is 1/48462.Finally, GCF of Fractions for 9042/246, 7159/8077 is 1/48462.