Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/41,13/410,728/881
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 26,13,728
Greatest Common Factor of Numerators i.e. GCF of 26,13,728 is 13 .
LCM of Denominators means LCM of 41,410,881 as per the given fractions.
LCM of 41,410,881 is 361210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,13,728
13 | 26, 13, 728 |
2, 1, 56 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 26,13,728 . The biggest common factor number is the GCF number.
So the greatest common factor 26,13,728 is 13.
Lets's calculate LCM of 41,410,881
41 | 41, 410, 881 |
1, 10, 881 |
∴ So the LCM of the given numbers is 41 x 1 x 10 x 881 = 361210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/361210
Therefore, the GCF of Fractions 26/41,13/410,728/881 is 13/361210
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 41,410,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,410,881) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(41,410,881) x common factors =1 x 41 = 41
LCM(41,410,881) = ( 41 × 410 × 881 ) / 41
LCM(41,410,881) = 14809610 / 41
LCM(41,410,881) = 361210
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 26/41, 13/410, 728/881?
Answer: GCF of Numerators as per given numbers 26/41, 13/410, 728/881 is
GCF of Numerators i.e. for 26,13,728 is 13
LCM of denominators i.e. for 41,410,881 is 361210.
Thus, GCF of Fractions is 13/361210.Finally, GCF of Fractions for 26/41, 13/410, 728/881 is 13/361210.