Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2383/11,1931/803
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 2383,1931
Greatest Common Factor of Numerators i.e. GCF of 2383,1931 is 1 .
LCM of Denominators means LCM of 11,803 as per the given fractions.
LCM of 11,803 is 803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2383,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1,2383
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1,1931
Greatest Common Factor
We found the factors 2383,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 2383,1931 is 1.
Lets's calculate LCM of 11,803
11 | 11, 803 |
1, 73 |
∴ So the LCM of the given numbers is 11 x 1 x 73 = 803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803
Therefore, the GCF of Fractions 2383/11,1931/803 is 1/803
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 11,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,803) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(11,803) x common factors =11 x 1 = 11
LCM(11,803) = ( 11 × 803 ) / 11
LCM(11,803) = 8833 / 11
LCM(11,803) = 803
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 2383/11, 1931/803?
Answer: GCF of Numerators as per given numbers 2383/11, 1931/803 is
GCF of Numerators i.e. for 2383,1931 is 1
LCM of denominators i.e. for 11,803 is 803.
Thus, GCF of Fractions is 1/803.Finally, GCF of Fractions for 2383/11, 1931/803 is 1/803.