Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4340/303,8851/241
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 4340,8851
Greatest Common Factor of Numerators i.e. GCF of 4340,8851 is 1 .
LCM of Denominators means LCM of 303,241 as per the given fractions.
LCM of 303,241 is 73023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4340,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4340
List of positive integer factors of 4340 that divides 4340 without a remainder.
1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Factors of 8851
List of positive integer factors of 8851 that divides 8851 without a remainder.
1,53,167,8851
Greatest Common Factor
We found the factors 4340,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,8851 is 1.
Lets's calculate LCM of 303,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 73023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73023
Therefore, the GCF of Fractions 4340/303,8851/241 is 1/73023
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 303,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,241) x common factors =1 x 1 = 1
LCM(303,241) = ( 303 × 241 ) / 1
LCM(303,241) = 73023 / 1
LCM(303,241) = 73023
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 4340/303, 8851/241?
Answer: GCF of Numerators as per given numbers 4340/303, 8851/241 is
GCF of Numerators i.e. for 4340,8851 is 1
LCM of denominators i.e. for 303,241 is 73023.
Thus, GCF of Fractions is 1/73023.Finally, GCF of Fractions for 4340/303, 8851/241 is 1/73023.