Use our free GCF of Fractions Calculator tool to compute the GCF of 738/299, 238/477 i.e 2/142623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/299, 238/477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/299,238/477
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 738/299,238/477, numerators are 738,238
Denominators are 299,477
The GCF of 738,238 is 2 .
LCM of 299,477 is 142623.
The greatest common factor of 738/299,238/477 = [GCF of 738,238]/[LCM of 299,477]= 2/142623
Therefore, the GCF of 738/299,238/477 is 2/142623.
To find the highest common factor of 738,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 738,238 is 2.
Lets's calculate GCF of 738,238
2 | 738, 238 |
369, 119 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 738,238 . The biggest common factor number is the GCF number.
So the greatest common factor 738,238 is 2.
Lets's calculate LCM of 299,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 142623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142623
Therefore, the GCF of Fractions 738/299,238/477 is 2/142623
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 299,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,477) x common factors =1 x 1 = 1
LCM(299,477) = ( 299 × 477 ) / 1
LCM(299,477) = 142623 / 1
LCM(299,477) = 142623
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 738,238?
The HCF of 738,238 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 738/299, 238/477?
Answer: GCF of Numerators as per given numbers 738/299, 238/477 is
GCF of Numerators i.e. for 738,238 is 2
LCM of denominators i.e. for 299,477 is 142623.
Thus, GCF of Fractions is 2/142623.Finally, GCF of Fractions for 738/299, 238/477 is 2/142623.