Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9135/442,1049/4177
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 9135,1049
Greatest Common Factor of Numerators i.e. GCF of 9135,1049 is 1 .
LCM of Denominators means LCM of 442,4177 as per the given fractions.
LCM of 442,4177 is 1846234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9135,1049
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9135
List of positive integer factors of 9135 that divides 9135 without a remainder.
1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Factors of 1049
List of positive integer factors of 1049 that divides 1049 without a remainder.
1,1049
Greatest Common Factor
We found the factors 9135,1049 . The biggest common factor number is the GCF number.
So the greatest common factor 9135,1049 is 1.
Lets's calculate LCM of 442,4177
Given numbers has no common factors except 1. So, there LCM is their product i.e 1846234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1846234
Therefore, the GCF of Fractions 9135/442,1049/4177 is 1/1846234
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 442,4177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,4177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,4177) x common factors =1 x 1 = 1
LCM(442,4177) = ( 442 × 4177 ) / 1
LCM(442,4177) = 1846234 / 1
LCM(442,4177) = 1846234
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 9135/442, 1049/4177?
Answer: GCF of Numerators as per given numbers 9135/442, 1049/4177 is
GCF of Numerators i.e. for 9135,1049 is 1
LCM of denominators i.e. for 442,4177 is 1846234.
Thus, GCF of Fractions is 1/1846234.Finally, GCF of Fractions for 9135/442, 1049/4177 is 1/1846234.