Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9445/378,1241/182
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 9445,1241
Greatest Common Factor of Numerators i.e. GCF of 9445,1241 is 1 .
LCM of Denominators means LCM of 378,182 as per the given fractions.
LCM of 378,182 is 4914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9445,1241
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9445
List of positive integer factors of 9445 that divides 9445 without a remainder.
1,5,1889,9445
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Greatest Common Factor
We found the factors 9445,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 9445,1241 is 1.
Lets's calculate LCM of 378,182
2 | 378, 182 |
7 | 189, 91 |
27, 13 |
∴ So the LCM of the given numbers is 2 x 7 x 27 x 13 = 4914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914
Therefore, the GCF of Fractions 9445/378,1241/182 is 1/4914
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 378,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,182) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(378,182) x common factors =14 x 1 = 14
LCM(378,182) = ( 378 × 182 ) / 14
LCM(378,182) = 68796 / 14
LCM(378,182) = 4914
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 9445/378, 1241/182?
Answer: GCF of Numerators as per given numbers 9445/378, 1241/182 is
GCF of Numerators i.e. for 9445,1241 is 1
LCM of denominators i.e. for 378,182 is 4914.
Thus, GCF of Fractions is 1/4914.Finally, GCF of Fractions for 9445/378, 1241/182 is 1/4914.