Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9904/617,8147/948
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 9904,8147
Greatest Common Factor of Numerators i.e. GCF of 9904,8147 is 1 .
LCM of Denominators means LCM of 617,948 as per the given fractions.
LCM of 617,948 is 584916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9904,8147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9904
List of positive integer factors of 9904 that divides 9904 without a remainder.
1,2,4,8,16,619,1238,2476,4952,9904
Factors of 8147
List of positive integer factors of 8147 that divides 8147 without a remainder.
1,8147
Greatest Common Factor
We found the factors 9904,8147 . The biggest common factor number is the GCF number.
So the greatest common factor 9904,8147 is 1.
Lets's calculate LCM of 617,948
Given numbers has no common factors except 1. So, there LCM is their product i.e 584916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584916
Therefore, the GCF of Fractions 9904/617,8147/948 is 1/584916
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 617,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,948) x common factors =1 x 1 = 1
LCM(617,948) = ( 617 × 948 ) / 1
LCM(617,948) = 584916 / 1
LCM(617,948) = 584916
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 9904/617, 8147/948?
Answer: GCF of Numerators as per given numbers 9904/617, 8147/948 is
GCF of Numerators i.e. for 9904,8147 is 1
LCM of denominators i.e. for 617,948 is 584916.
Thus, GCF of Fractions is 1/584916.Finally, GCF of Fractions for 9904/617, 8147/948 is 1/584916.