Use our free GCF of Fractions Calculator tool to compute the GCF of 556/419, 318/891 i.e 2/373329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/419, 318/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 556/419,318/891
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 556/419,318/891, numerators are 556,318
Denominators are 419,891
The GCF of 556,318 is 2 .
LCM of 419,891 is 373329.
The greatest common factor of 556/419,318/891 = [GCF of 556,318]/[LCM of 419,891]= 2/373329
Therefore, the GCF of 556/419,318/891 is 2/373329.
To find the highest common factor of 556,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 556 are 1, 2, 4, 139, 278, 556
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 556,318 is 2.
Lets's calculate GCF of 556,318
2 | 556, 318 |
278, 159 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 556
:1,2,4,139,278,556
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 556,318 . The biggest common factor number is the GCF number.
So the greatest common factor 556,318 is 2.
Lets's calculate LCM of 419,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 373329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/373329
Therefore, the GCF of Fractions 556/419,318/891 is 2/373329
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 419,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,891) x common factors =1 x 1 = 1
LCM(419,891) = ( 419 × 891 ) / 1
LCM(419,891) = 373329 / 1
LCM(419,891) = 373329
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 556,318?
The HCF of 556,318 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 556/419, 318/891?
Answer: GCF of Numerators as per given numbers 556/419, 318/891 is
GCF of Numerators i.e. for 556,318 is 2
LCM of denominators i.e. for 419,891 is 373329.
Thus, GCF of Fractions is 2/373329.Finally, GCF of Fractions for 556/419, 318/891 is 2/373329.