Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8104/11,5964/841
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 8104,5964
Greatest Common Factor of Numerators i.e. GCF of 8104,5964 is 4 .
LCM of Denominators means LCM of 11,841 as per the given fractions.
LCM of 11,841 is 9251 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8104,5964
2 | 8104, 5964 |
2 | 4052, 2982 |
2026, 1491 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8104
List of positive integer factors of 8104 that divides 8104 without a remainder.
1,2,4,8,1013,2026,4052,8104
Factors of 5964
List of positive integer factors of 5964 that divides 5964 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964
Greatest Common Factor
We found the factors 8104,5964 . The biggest common factor number is the GCF number.
So the greatest common factor 8104,5964 is 4.
Lets's calculate LCM of 11,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 9251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9251
Therefore, the GCF of Fractions 8104/11,5964/841 is 4/9251
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 11,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,841) x common factors =1 x 1 = 1
LCM(11,841) = ( 11 × 841 ) / 1
LCM(11,841) = 9251 / 1
LCM(11,841) = 9251
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 8104/11, 5964/841?
Answer: GCF of Numerators as per given numbers 8104/11, 5964/841 is
GCF of Numerators i.e. for 8104,5964 is 4
LCM of denominators i.e. for 11,841 is 9251.
Thus, GCF of Fractions is 4/9251.Finally, GCF of Fractions for 8104/11, 5964/841 is 4/9251.