Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9217/13,8043/246
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 9217,8043
Greatest Common Factor of Numerators i.e. GCF of 9217,8043 is 1 .
LCM of Denominators means LCM of 13,246 as per the given fractions.
LCM of 13,246 is 3198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9217,8043
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9217
List of positive integer factors of 9217 that divides 9217 without a remainder.
1,13,709,9217
Factors of 8043
List of positive integer factors of 8043 that divides 8043 without a remainder.
1,3,7,21,383,1149,2681,8043
Greatest Common Factor
We found the factors 9217,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 9217,8043 is 1.
Lets's calculate LCM of 13,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 3198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3198
Therefore, the GCF of Fractions 9217/13,8043/246 is 1/3198
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 13,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,246) x common factors =1 x 1 = 1
LCM(13,246) = ( 13 × 246 ) / 1
LCM(13,246) = 3198 / 1
LCM(13,246) = 3198
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 9217/13, 8043/246?
Answer: GCF of Numerators as per given numbers 9217/13, 8043/246 is
GCF of Numerators i.e. for 9217,8043 is 1
LCM of denominators i.e. for 13,246 is 3198.
Thus, GCF of Fractions is 1/3198.Finally, GCF of Fractions for 9217/13, 8043/246 is 1/3198.