Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1268/14,5041/937
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 1268,5041
Greatest Common Factor of Numerators i.e. GCF of 1268,5041 is 1 .
LCM of Denominators means LCM of 14,937 as per the given fractions.
LCM of 14,937 is 13118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1268,5041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1268
List of positive integer factors of 1268 that divides 1268 without a remainder.
1,2,4,317,634,1268
Factors of 5041
List of positive integer factors of 5041 that divides 5041 without a remainder.
1,71,5041
Greatest Common Factor
We found the factors 1268,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 1268,5041 is 1.
Lets's calculate LCM of 14,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 13118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13118
Therefore, the GCF of Fractions 1268/14,5041/937 is 1/13118
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 14,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,937) x common factors =1 x 1 = 1
LCM(14,937) = ( 14 × 937 ) / 1
LCM(14,937) = 13118 / 1
LCM(14,937) = 13118
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 1268/14, 5041/937?
Answer: GCF of Numerators as per given numbers 1268/14, 5041/937 is
GCF of Numerators i.e. for 1268,5041 is 1
LCM of denominators i.e. for 14,937 is 13118.
Thus, GCF of Fractions is 1/13118.Finally, GCF of Fractions for 1268/14, 5041/937 is 1/13118.