Use our free GCF of Fractions Calculator tool to compute the GCF of 146/960, 662/300 i.e 2/4800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/960, 662/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/960,662/300
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 146/960,662/300, numerators are 146,662
Denominators are 960,300
The GCF of 146,662 is 2 .
LCM of 960,300 is 4800.
The greatest common factor of 146/960,662/300 = [GCF of 146,662]/[LCM of 960,300]= 2/4800
Therefore, the GCF of 146/960,662/300 is 2/4800.
To find the highest common factor of 146,662, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 662 are 1, 2, 331, 662
The HCF of 146,662 is 2.
Lets's calculate GCF of 146,662
2 | 146, 662 |
73, 331 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 662
:1,2,331,662
Greatest Common Factor
We found the factors 146,662 . The biggest common factor number is the GCF number.
So the greatest common factor 146,662 is 2.
Lets's calculate LCM of 960,300
2 | 960, 300 |
2 | 480, 150 |
3 | 240, 75 |
5 | 80, 25 |
16, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 16 x 5 = 4800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4800
Therefore, the GCF of Fractions 146/960,662/300 is 2/4800
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 960,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,300) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(960,300) x common factors =60 x 1 = 60
LCM(960,300) = ( 960 × 300 ) / 60
LCM(960,300) = 288000 / 60
LCM(960,300) = 4800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 146,662?
The HCF of 146,662 is 2
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 146/960, 662/300?
Answer: GCF of Numerators as per given numbers 146/960, 662/300 is
GCF of Numerators i.e. for 146,662 is 2
LCM of denominators i.e. for 960,300 is 4800.
Thus, GCF of Fractions is 2/4800.Finally, GCF of Fractions for 146/960, 662/300 is 2/4800.