Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1341/19,5833/663
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 1341,5833
Greatest Common Factor of Numerators i.e. GCF of 1341,5833 is 1 .
LCM of Denominators means LCM of 19,663 as per the given fractions.
LCM of 19,663 is 12597 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1341,5833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1341
List of positive integer factors of 1341 that divides 1341 without a remainder.
1,3,9,149,447,1341
Factors of 5833
List of positive integer factors of 5833 that divides 5833 without a remainder.
1,19,307,5833
Greatest Common Factor
We found the factors 1341,5833 . The biggest common factor number is the GCF number.
So the greatest common factor 1341,5833 is 1.
Lets's calculate LCM of 19,663
Given numbers has no common factors except 1. So, there LCM is their product i.e 12597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12597
Therefore, the GCF of Fractions 1341/19,5833/663 is 1/12597
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 19,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,663) x common factors =1 x 1 = 1
LCM(19,663) = ( 19 × 663 ) / 1
LCM(19,663) = 12597 / 1
LCM(19,663) = 12597
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 1341/19, 5833/663?
Answer: GCF of Numerators as per given numbers 1341/19, 5833/663 is
GCF of Numerators i.e. for 1341,5833 is 1
LCM of denominators i.e. for 19,663 is 12597.
Thus, GCF of Fractions is 1/12597.Finally, GCF of Fractions for 1341/19, 5833/663 is 1/12597.