Use our free GCF of Fractions Calculator tool to compute the GCF of 478/414, 141/622 i.e 1/128754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/414, 141/622.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 478/414,141/622
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 478/414,141/622, numerators are 478,141
Denominators are 414,622
The GCF of 478,141 is 1 .
LCM of 414,622 is 128754.
The greatest common factor of 478/414,141/622 = [GCF of 478,141]/[LCM of 414,622]= 1/128754
Therefore, the GCF of 478/414,141/622 is 1/128754.
To find the highest common factor of 478,141, 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 141 are 1, 3, 47, 141
The HCF of 478,141 is 1.
Lets's calculate GCF of 478,141
∴ 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 141
:1,3,47,141
Greatest Common Factor
We found the factors 478,141 . The biggest common factor number is the GCF number.
So the greatest common factor 478,141 is 1.
Lets's calculate LCM of 414,622
2 | 414, 622 |
207, 311 |
∴ So the LCM of the given numbers is 2 x 207 x 311 = 128754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128754
Therefore, the GCF of Fractions 478/414,141/622 is 1/128754
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 414,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,622) x common factors =2 x 1 = 2
LCM(414,622) = ( 414 × 622 ) / 2
LCM(414,622) = 257508 / 2
LCM(414,622) = 128754
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 478,141?
The HCF of 478,141 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 478/414, 141/622?
Answer: GCF of Numerators as per given numbers 478/414, 141/622 is
GCF of Numerators i.e. for 478,141 is 1
LCM of denominators i.e. for 414,622 is 128754.
Thus, GCF of Fractions is 1/128754.Finally, GCF of Fractions for 478/414, 141/622 is 1/128754.