Use our free GCF of Fractions Calculator tool to compute the GCF of 455/428, 234/298 i.e 13/63772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/428, 234/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/428,234/298
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 455/428,234/298, numerators are 455,234
Denominators are 428,298
The GCF of 455,234 is 13 .
LCM of 428,298 is 63772.
The greatest common factor of 455/428,234/298 = [GCF of 455,234]/[LCM of 428,298]= 13/63772
Therefore, the GCF of 455/428,234/298 is 13/63772.
To find the highest common factor of 455,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 455,234 is 13.
Lets's calculate GCF of 455,234
13 | 455, 234 |
35, 18 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 455,234 . The biggest common factor number is the GCF number.
So the greatest common factor 455,234 is 13.
Lets's calculate LCM of 428,298
2 | 428, 298 |
214, 149 |
∴ So the LCM of the given numbers is 2 x 214 x 149 = 63772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/63772
Therefore, the GCF of Fractions 455/428,234/298 is 13/63772
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 428,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,298) x common factors =2 x 1 = 2
LCM(428,298) = ( 428 × 298 ) / 2
LCM(428,298) = 127544 / 2
LCM(428,298) = 63772
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 455,234?
The HCF of 455,234 is 13
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 455/428, 234/298?
Answer: GCF of Numerators as per given numbers 455/428, 234/298 is
GCF of Numerators i.e. for 455,234 is 13
LCM of denominators i.e. for 428,298 is 63772.
Thus, GCF of Fractions is 13/63772.Finally, GCF of Fractions for 455/428, 234/298 is 13/63772.