Use our free GCF of Fractions Calculator tool to compute the GCF of 168/122, 150/493 i.e 6/60146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/122, 150/493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/122,150/493
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 168/122,150/493, numerators are 168,150
Denominators are 122,493
The GCF of 168,150 is 6 .
LCM of 122,493 is 60146.
The greatest common factor of 168/122,150/493 = [GCF of 168,150]/[LCM of 122,493]= 6/60146
Therefore, the GCF of 168/122,150/493 is 6/60146.
To find the highest common factor of 168,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 168,150 is 6.
Lets's calculate GCF of 168,150
2 | 168, 150 |
3 | 84, 75 |
28, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 168,150 . The biggest common factor number is the GCF number.
So the greatest common factor 168,150 is 6.
Lets's calculate LCM of 122,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 60146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/60146
Therefore, the GCF of Fractions 168/122,150/493 is 6/60146
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 122,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,493) x common factors =1 x 1 = 1
LCM(122,493) = ( 122 × 493 ) / 1
LCM(122,493) = 60146 / 1
LCM(122,493) = 60146
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,150?
The HCF of 168,150 is 6
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 168/122, 150/493?
Answer: GCF of Numerators as per given numbers 168/122, 150/493 is
GCF of Numerators i.e. for 168,150 is 6
LCM of denominators i.e. for 122,493 is 60146.
Thus, GCF of Fractions is 6/60146.Finally, GCF of Fractions for 168/122, 150/493 is 6/60146.