Use our free GCF of Fractions Calculator tool to compute the GCF of 50/47, 110/53, 275/838 i.e 5/2087458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/47, 110/53, 275/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/47,110/53,275/838
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 50/47,110/53,275/838, numerators are 50,110,275
Denominators are 47,53,838
The GCF of 50,110,275 is 5 .
LCM of 47,53,838 is 2087458.
The greatest common factor of 50/47,110/53,275/838 = [GCF of 50,110,275]/[LCM of 47,53,838]= 5/2087458
Therefore, the GCF of 50/47,110/53,275/838 is 5/2087458.
To find the highest common factor of 50,110,275, 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 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 50,110,275 is 5.
Lets's calculate GCF of 50,110,275
5 | 50, 110, 275 |
10, 22, 55 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 50,110,275 . The biggest common factor number is the GCF number.
So the greatest common factor 50,110,275 is 5.
Lets's calculate LCM of 47,53,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 2087458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2087458
Therefore, the GCF of Fractions 50/47,110/53,275/838 is 5/2087458
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 47,53,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,53,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,53,838) x common factors =1 x 1 = 1
LCM(47,53,838) = ( 47 × 53 × 838 ) / 1
LCM(47,53,838) = 2087458 / 1
LCM(47,53,838) = 2087458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,110,275?
The HCF of 50,110,275 is 5
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 50/47, 110/53, 275/838?
Answer: GCF of Numerators as per given numbers 50/47, 110/53, 275/838 is
GCF of Numerators i.e. for 50,110,275 is 5
LCM of denominators i.e. for 47,53,838 is 2087458.
Thus, GCF of Fractions is 5/2087458.Finally, GCF of Fractions for 50/47, 110/53, 275/838 is 5/2087458.