Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3888/49,6841/539
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 3888,6841
Greatest Common Factor of Numerators i.e. GCF of 3888,6841 is 1 .
LCM of Denominators means LCM of 49,539 as per the given fractions.
LCM of 49,539 is 539 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3888,6841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3888
List of positive integer factors of 3888 that divides 3888 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888
Factors of 6841
List of positive integer factors of 6841 that divides 6841 without a remainder.
1,6841
Greatest Common Factor
We found the factors 3888,6841 . The biggest common factor number is the GCF number.
So the greatest common factor 3888,6841 is 1.
Lets's calculate LCM of 49,539
7 | 49, 539 |
7 | 7, 77 |
1, 11 |
∴ So the LCM of the given numbers is 7 x 7 x 1 x 11 = 539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539
Therefore, the GCF of Fractions 3888/49,6841/539 is 1/539
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 49,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,539) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(49,539) x common factors =49 x 1 = 49
LCM(49,539) = ( 49 × 539 ) / 49
LCM(49,539) = 26411 / 49
LCM(49,539) = 539
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 3888/49, 6841/539?
Answer: GCF of Numerators as per given numbers 3888/49, 6841/539 is
GCF of Numerators i.e. for 3888,6841 is 1
LCM of denominators i.e. for 49,539 is 539.
Thus, GCF of Fractions is 1/539.Finally, GCF of Fractions for 3888/49, 6841/539 is 1/539.