Use our free GCF of Fractions Calculator tool to compute the GCF of 4786/366, 4971/9063 i.e 1/1105686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4786/366, 4971/9063.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4786/366,4971/9063
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 4786/366,4971/9063, numerators are 4786,4971
Denominators are 366,9063
The GCF of 4786,4971 is 1 .
LCM of 366,9063 is 1105686.
The greatest common factor of 4786/366,4971/9063 = [GCF of 4786,4971]/[LCM of 366,9063]= 1/1105686
Therefore, the GCF of 4786/366,4971/9063 is 1/1105686.
To find the highest common factor of 4786,4971, we have to find the factors of both numbers and list the highest common factor.
The factors of 4786 are 1, 2, 2393, 4786
The factors of 4971 are 1, 3, 1657, 4971
The HCF of 4786,4971 is 1.
Lets's calculate GCF of 4786,4971
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4786
:1,2,2393,4786
Now, list down the factors of 4971
:1,3,1657,4971
Greatest Common Factor
We found the factors 4786,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 4786,4971 is 1.
Lets's calculate LCM of 366,9063
3 | 366, 9063 |
122, 3021 |
∴ So the LCM of the given numbers is 3 x 122 x 3021 = 1105686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1105686
Therefore, the GCF of Fractions 4786/366,4971/9063 is 1/1105686
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 366,9063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,9063) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,9063) x common factors =3 x 1 = 3
LCM(366,9063) = ( 366 × 9063 ) / 3
LCM(366,9063) = 3317058 / 3
LCM(366,9063) = 1105686
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4786,4971?
The HCF of 4786,4971 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 4786/366, 4971/9063?
Answer: GCF of Numerators as per given numbers 4786/366, 4971/9063 is
GCF of Numerators i.e. for 4786,4971 is 1
LCM of denominators i.e. for 366,9063 is 1105686.
Thus, GCF of Fractions is 1/1105686.Finally, GCF of Fractions for 4786/366, 4971/9063 is 1/1105686.