Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9190/506,8154/241
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 9190,8154
Greatest Common Factor of Numerators i.e. GCF of 9190,8154 is 2 .
LCM of Denominators means LCM of 506,241 as per the given fractions.
LCM of 506,241 is 121946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9190,8154
2 | 9190, 8154 |
4595, 4077 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9190
List of positive integer factors of 9190 that divides 9190 without a remainder.
1,2,5,10,919,1838,4595,9190
Factors of 8154
List of positive integer factors of 8154 that divides 8154 without a remainder.
1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 9190,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 9190,8154 is 2.
Lets's calculate LCM of 506,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 121946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121946
Therefore, the GCF of Fractions 9190/506,8154/241 is 2/121946
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 506,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,241) x common factors =1 x 1 = 1
LCM(506,241) = ( 506 × 241 ) / 1
LCM(506,241) = 121946 / 1
LCM(506,241) = 121946
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 9190/506, 8154/241?
Answer: GCF of Numerators as per given numbers 9190/506, 8154/241 is
GCF of Numerators i.e. for 9190,8154 is 2
LCM of denominators i.e. for 506,241 is 121946.
Thus, GCF of Fractions is 2/121946.Finally, GCF of Fractions for 9190/506, 8154/241 is 2/121946.