Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/38,1311/382
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 375,1311
Greatest Common Factor of Numerators i.e. GCF of 375,1311 is 3 .
LCM of Denominators means LCM of 38,382 as per the given fractions.
LCM of 38,382 is 7258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 375,1311
3 | 375, 1311 |
125, 437 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 1311
List of positive integer factors of 1311 that divides 1311 without a remainder.
1,3,19,23,57,69,437,1311
Greatest Common Factor
We found the factors 375,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 375,1311 is 3.
Lets's calculate LCM of 38,382
2 | 38, 382 |
19, 191 |
∴ So the LCM of the given numbers is 2 x 19 x 191 = 7258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7258
Therefore, the GCF of Fractions 375/38,1311/382 is 3/7258
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 38,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,382) x common factors =2 x 1 = 2
LCM(38,382) = ( 38 × 382 ) / 2
LCM(38,382) = 14516 / 2
LCM(38,382) = 7258
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 375/38, 1311/382?
Answer: GCF of Numerators as per given numbers 375/38, 1311/382 is
GCF of Numerators i.e. for 375,1311 is 3
LCM of denominators i.e. for 38,382 is 7258.
Thus, GCF of Fractions is 3/7258.Finally, GCF of Fractions for 375/38, 1311/382 is 3/7258.