Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3109/605,8088/6385
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 3109,8088
Greatest Common Factor of Numerators i.e. GCF of 3109,8088 is 1 .
LCM of Denominators means LCM of 605,6385 as per the given fractions.
LCM of 605,6385 is 772585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3109,8088
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3109
List of positive integer factors of 3109 that divides 3109 without a remainder.
1,3109
Factors of 8088
List of positive integer factors of 8088 that divides 8088 without a remainder.
1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 3109,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,8088 is 1.
Lets's calculate LCM of 605,6385
5 | 605, 6385 |
121, 1277 |
∴ So the LCM of the given numbers is 5 x 121 x 1277 = 772585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772585
Therefore, the GCF of Fractions 3109/605,8088/6385 is 1/772585
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 605,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,6385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,6385) x common factors =5 x 1 = 5
LCM(605,6385) = ( 605 × 6385 ) / 5
LCM(605,6385) = 3862925 / 5
LCM(605,6385) = 772585
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 3109/605, 8088/6385?
Answer: GCF of Numerators as per given numbers 3109/605, 8088/6385 is
GCF of Numerators i.e. for 3109,8088 is 1
LCM of denominators i.e. for 605,6385 is 772585.
Thus, GCF of Fractions is 1/772585.Finally, GCF of Fractions for 3109/605, 8088/6385 is 1/772585.