Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4893/26,3789/338
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 4893,3789
Greatest Common Factor of Numerators i.e. GCF of 4893,3789 is 3 .
LCM of Denominators means LCM of 26,338 as per the given fractions.
LCM of 26,338 is 338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4893,3789
3 | 4893, 3789 |
1631, 1263 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4893
List of positive integer factors of 4893 that divides 4893 without a remainder.
1,3,7,21,233,699,1631,4893
Factors of 3789
List of positive integer factors of 3789 that divides 3789 without a remainder.
1,3,9,421,1263,3789
Greatest Common Factor
We found the factors 4893,3789 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,3789 is 3.
Lets's calculate LCM of 26,338
2 | 26, 338 |
13 | 13, 169 |
1, 13 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 13 = 338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/338
Therefore, the GCF of Fractions 4893/26,3789/338 is 3/338
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 26,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,338) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(26,338) x common factors =26 x 1 = 26
LCM(26,338) = ( 26 × 338 ) / 26
LCM(26,338) = 8788 / 26
LCM(26,338) = 338
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 4893/26, 3789/338?
Answer: GCF of Numerators as per given numbers 4893/26, 3789/338 is
GCF of Numerators i.e. for 4893,3789 is 3
LCM of denominators i.e. for 26,338 is 338.
Thus, GCF of Fractions is 3/338.Finally, GCF of Fractions for 4893/26, 3789/338 is 3/338.