Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9541/663,4188/406
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 9541,4188
Greatest Common Factor of Numerators i.e. GCF of 9541,4188 is 1 .
LCM of Denominators means LCM of 663,406 as per the given fractions.
LCM of 663,406 is 269178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9541,4188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9541
List of positive integer factors of 9541 that divides 9541 without a remainder.
1,7,29,47,203,329,1363,9541
Factors of 4188
List of positive integer factors of 4188 that divides 4188 without a remainder.
1,2,3,4,6,12,349,698,1047,1396,2094,4188
Greatest Common Factor
We found the factors 9541,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 9541,4188 is 1.
Lets's calculate LCM of 663,406
Given numbers has no common factors except 1. So, there LCM is their product i.e 269178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269178
Therefore, the GCF of Fractions 9541/663,4188/406 is 1/269178
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 663,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,406) x common factors =1 x 1 = 1
LCM(663,406) = ( 663 × 406 ) / 1
LCM(663,406) = 269178 / 1
LCM(663,406) = 269178
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 9541/663, 4188/406?
Answer: GCF of Numerators as per given numbers 9541/663, 4188/406 is
GCF of Numerators i.e. for 9541,4188 is 1
LCM of denominators i.e. for 663,406 is 269178.
Thus, GCF of Fractions is 1/269178.Finally, GCF of Fractions for 9541/663, 4188/406 is 1/269178.