Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3849/781,2819/2706
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 3849,2819
Greatest Common Factor of Numerators i.e. GCF of 3849,2819 is 1 .
LCM of Denominators means LCM of 781,2706 as per the given fractions.
LCM of 781,2706 is 192126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3849,2819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1,3,1283,3849
Factors of 2819
List of positive integer factors of 2819 that divides 2819 without a remainder.
1,2819
Greatest Common Factor
We found the factors 3849,2819 . The biggest common factor number is the GCF number.
So the greatest common factor 3849,2819 is 1.
Lets's calculate LCM of 781,2706
11 | 781, 2706 |
71, 246 |
∴ So the LCM of the given numbers is 11 x 71 x 246 = 192126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192126
Therefore, the GCF of Fractions 3849/781,2819/2706 is 1/192126
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 781,2706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,2706) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(781,2706) x common factors =11 x 1 = 11
LCM(781,2706) = ( 781 × 2706 ) / 11
LCM(781,2706) = 2113386 / 11
LCM(781,2706) = 192126
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 3849/781, 2819/2706?
Answer: GCF of Numerators as per given numbers 3849/781, 2819/2706 is
GCF of Numerators i.e. for 3849,2819 is 1
LCM of denominators i.e. for 781,2706 is 192126.
Thus, GCF of Fractions is 1/192126.Finally, GCF of Fractions for 3849/781, 2819/2706 is 1/192126.