Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/190,3839/5026
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 66,3839
Greatest Common Factor of Numerators i.e. GCF of 66,3839 is 11 .
LCM of Denominators means LCM of 190,5026 as per the given fractions.
LCM of 190,5026 is 477470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,3839
11 | 66, 3839 |
6, 349 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 3839
List of positive integer factors of 3839 that divides 3839 without a remainder.
1,11,349,3839
Greatest Common Factor
We found the factors 66,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3839 is 11.
Lets's calculate LCM of 190,5026
2 | 190, 5026 |
95, 2513 |
∴ So the LCM of the given numbers is 2 x 95 x 2513 = 477470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/477470
Therefore, the GCF of Fractions 66/190,3839/5026 is 11/477470
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 190,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,5026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,5026) x common factors =2 x 1 = 2
LCM(190,5026) = ( 190 × 5026 ) / 2
LCM(190,5026) = 954940 / 2
LCM(190,5026) = 477470
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 66/190, 3839/5026?
Answer: GCF of Numerators as per given numbers 66/190, 3839/5026 is
GCF of Numerators i.e. for 66,3839 is 11
LCM of denominators i.e. for 190,5026 is 477470.
Thus, GCF of Fractions is 11/477470.Finally, GCF of Fractions for 66/190, 3839/5026 is 11/477470.