Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/16,2444/293
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 391,2444
Greatest Common Factor of Numerators i.e. GCF of 391,2444 is 1 .
LCM of Denominators means LCM of 16,293 as per the given fractions.
LCM of 16,293 is 4688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 391,2444
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 2444
List of positive integer factors of 2444 that divides 2444 without a remainder.
1,2,4,13,26,47,52,94,188,611,1222,2444
Greatest Common Factor
We found the factors 391,2444 . The biggest common factor number is the GCF number.
So the greatest common factor 391,2444 is 1.
Lets's calculate LCM of 16,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 4688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4688
Therefore, the GCF of Fractions 391/16,2444/293 is 1/4688
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 16,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,293) x common factors =1 x 1 = 1
LCM(16,293) = ( 16 × 293 ) / 1
LCM(16,293) = 4688 / 1
LCM(16,293) = 4688
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 391/16, 2444/293?
Answer: GCF of Numerators as per given numbers 391/16, 2444/293 is
GCF of Numerators i.e. for 391,2444 is 1
LCM of denominators i.e. for 16,293 is 4688.
Thus, GCF of Fractions is 1/4688.Finally, GCF of Fractions for 391/16, 2444/293 is 1/4688.