Use our free GCF of Fractions Calculator tool to compute the GCF of 579/279, 881/761 i.e 1/212319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/279, 881/761.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/279,881/761
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 579/279,881/761, numerators are 579,881
Denominators are 279,761
The GCF of 579,881 is 1 .
LCM of 279,761 is 212319.
The greatest common factor of 579/279,881/761 = [GCF of 579,881]/[LCM of 279,761]= 1/212319
Therefore, the GCF of 579/279,881/761 is 1/212319.
To find the highest common factor of 579,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 881 are 1, 881
The HCF of 579,881 is 1.
Lets's calculate GCF of 579,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 579,881 . The biggest common factor number is the GCF number.
So the greatest common factor 579,881 is 1.
Lets's calculate LCM of 279,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 212319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212319
Therefore, the GCF of Fractions 579/279,881/761 is 1/212319
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 279,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,761) x common factors =1 x 1 = 1
LCM(279,761) = ( 279 × 761 ) / 1
LCM(279,761) = 212319 / 1
LCM(279,761) = 212319
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 579,881?
The HCF of 579,881 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 579/279, 881/761?
Answer: GCF of Numerators as per given numbers 579/279, 881/761 is
GCF of Numerators i.e. for 579,881 is 1
LCM of denominators i.e. for 279,761 is 212319.
Thus, GCF of Fractions is 1/212319.Finally, GCF of Fractions for 579/279, 881/761 is 1/212319.