Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7917/405,9199/2918
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 7917,9199
Greatest Common Factor of Numerators i.e. GCF of 7917,9199 is 1 .
LCM of Denominators means LCM of 405,2918 as per the given fractions.
LCM of 405,2918 is 1181790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7917,9199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7917
List of positive integer factors of 7917 that divides 7917 without a remainder.
1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917
Factors of 9199
List of positive integer factors of 9199 that divides 9199 without a remainder.
1,9199
Greatest Common Factor
We found the factors 7917,9199 . The biggest common factor number is the GCF number.
So the greatest common factor 7917,9199 is 1.
Lets's calculate LCM of 405,2918
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1181790
Therefore, the GCF of Fractions 7917/405,9199/2918 is 1/1181790
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 405,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,2918) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,2918) x common factors =1 x 1 = 1
LCM(405,2918) = ( 405 × 2918 ) / 1
LCM(405,2918) = 1181790 / 1
LCM(405,2918) = 1181790
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 7917/405, 9199/2918?
Answer: GCF of Numerators as per given numbers 7917/405, 9199/2918 is
GCF of Numerators i.e. for 7917,9199 is 1
LCM of denominators i.e. for 405,2918 is 1181790.
Thus, GCF of Fractions is 1/1181790.Finally, GCF of Fractions for 7917/405, 9199/2918 is 1/1181790.