Use our free GCF of Fractions Calculator tool to compute the GCF of 50/795, 107/889, 838/463 i.e 1/327227565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/795, 107/889, 838/463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/795,107/889,838/463
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 50/795,107/889,838/463, numerators are 50,107,838
Denominators are 795,889,463
The GCF of 50,107,838 is 1 .
LCM of 795,889,463 is 327227565.
The greatest common factor of 50/795,107/889,838/463 = [GCF of 50,107,838]/[LCM of 795,889,463]= 1/327227565
Therefore, the GCF of 50/795,107/889,838/463 is 1/327227565.
To find the highest common factor of 50,107,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 107 are 1, 107
The factors of 838 are 1, 2, 419, 838
The HCF of 50,107,838 is 1.
Lets's calculate GCF of 50,107,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 107
:1,107
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 50,107,838 . The biggest common factor number is the GCF number.
So the greatest common factor 50,107,838 is 1.
Lets's calculate LCM of 795,889,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 327227565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327227565
Therefore, the GCF of Fractions 50/795,107/889,838/463 is 1/327227565
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 795,889,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,889,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,889,463) x common factors =1 x 1 = 1
LCM(795,889,463) = ( 795 × 889 × 463 ) / 1
LCM(795,889,463) = 327227565 / 1
LCM(795,889,463) = 327227565
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,107,838?
The HCF of 50,107,838 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 50/795, 107/889, 838/463?
Answer: GCF of Numerators as per given numbers 50/795, 107/889, 838/463 is
GCF of Numerators i.e. for 50,107,838 is 1
LCM of denominators i.e. for 795,889,463 is 327227565.
Thus, GCF of Fractions is 1/327227565.Finally, GCF of Fractions for 50/795, 107/889, 838/463 is 1/327227565.