Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1396/58,2243/913
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 1396,2243
Greatest Common Factor of Numerators i.e. GCF of 1396,2243 is 1 .
LCM of Denominators means LCM of 58,913 as per the given fractions.
LCM of 58,913 is 52954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1396,2243
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1396
List of positive integer factors of 1396 that divides 1396 without a remainder.
1,2,4,349,698,1396
Factors of 2243
List of positive integer factors of 2243 that divides 2243 without a remainder.
1,2243
Greatest Common Factor
We found the factors 1396,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 1396,2243 is 1.
Lets's calculate LCM of 58,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 52954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52954
Therefore, the GCF of Fractions 1396/58,2243/913 is 1/52954
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 58,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,913) x common factors =1 x 1 = 1
LCM(58,913) = ( 58 × 913 ) / 1
LCM(58,913) = 52954 / 1
LCM(58,913) = 52954
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 1396/58, 2243/913?
Answer: GCF of Numerators as per given numbers 1396/58, 2243/913 is
GCF of Numerators i.e. for 1396,2243 is 1
LCM of denominators i.e. for 58,913 is 52954.
Thus, GCF of Fractions is 1/52954.Finally, GCF of Fractions for 1396/58, 2243/913 is 1/52954.