Use our free GCF of Fractions Calculator tool to compute the GCF of 130/149, 8350/366 i.e 10/54534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/149, 8350/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/149,8350/366
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 130/149,8350/366, numerators are 130,8350
Denominators are 149,366
The GCF of 130,8350 is 10 .
LCM of 149,366 is 54534.
The greatest common factor of 130/149,8350/366 = [GCF of 130,8350]/[LCM of 149,366]= 10/54534
Therefore, the GCF of 130/149,8350/366 is 10/54534.
To find the highest common factor of 130,8350, we have to find the factors of both numbers and list the highest common factor.
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350
The HCF of 130,8350 is 10.
Lets's calculate GCF of 130,8350
2 | 130, 8350 |
5 | 65, 4175 |
13, 835 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 8350
:1,2,5,10,25,50,167,334,835,1670,4175,8350
Greatest Common Factor
We found the factors 130,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 130,8350 is 10.
Lets's calculate LCM of 149,366
Given numbers has no common factors except 1. So, there LCM is their product i.e 54534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/54534
Therefore, the GCF of Fractions 130/149,8350/366 is 10/54534
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 149,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,366) x common factors =1 x 1 = 1
LCM(149,366) = ( 149 × 366 ) / 1
LCM(149,366) = 54534 / 1
LCM(149,366) = 54534
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 130,8350?
The HCF of 130,8350 is 10
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 130/149, 8350/366?
Answer: GCF of Numerators as per given numbers 130/149, 8350/366 is
GCF of Numerators i.e. for 130,8350 is 10
LCM of denominators i.e. for 149,366 is 54534.
Thus, GCF of Fractions is 10/54534.Finally, GCF of Fractions for 130/149, 8350/366 is 10/54534.