Use our free GCF of Fractions Calculator tool to compute the GCF of 478/226, 269/144 i.e 1/16272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/226, 269/144.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/226,269/144
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 478/226,269/144, numerators are 478,269
Denominators are 226,144
The GCF of 478,269 is 1 .
LCM of 226,144 is 16272.
The greatest common factor of 478/226,269/144 = [GCF of 478,269]/[LCM of 226,144]= 1/16272
Therefore, the GCF of 478/226,269/144 is 1/16272.
To find the highest common factor of 478,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 478 are 1, 2, 239, 478
The factors of 269 are 1, 269
The HCF of 478,269 is 1.
Lets's calculate GCF of 478,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 478,269 . The biggest common factor number is the GCF number.
So the greatest common factor 478,269 is 1.
Lets's calculate LCM of 226,144
2 | 226, 144 |
113, 72 |
∴ So the LCM of the given numbers is 2 x 113 x 72 = 16272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16272
Therefore, the GCF of Fractions 478/226,269/144 is 1/16272
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 226,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,144) x common factors =2 x 1 = 2
LCM(226,144) = ( 226 × 144 ) / 2
LCM(226,144) = 32544 / 2
LCM(226,144) = 16272
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 478,269?
The HCF of 478,269 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 478/226, 269/144?
Answer: GCF of Numerators as per given numbers 478/226, 269/144 is
GCF of Numerators i.e. for 478,269 is 1
LCM of denominators i.e. for 226,144 is 16272.
Thus, GCF of Fractions is 1/16272.Finally, GCF of Fractions for 478/226, 269/144 is 1/16272.