Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9413/367,9657/146
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 9413,9657
Greatest Common Factor of Numerators i.e. GCF of 9413,9657 is 1 .
LCM of Denominators means LCM of 367,146 as per the given fractions.
LCM of 367,146 is 53582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9413,9657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9413
List of positive integer factors of 9413 that divides 9413 without a remainder.
1,9413
Factors of 9657
List of positive integer factors of 9657 that divides 9657 without a remainder.
1,3,9,29,37,87,111,261,333,1073,3219,9657
Greatest Common Factor
We found the factors 9413,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 9413,9657 is 1.
Lets's calculate LCM of 367,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 53582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53582
Therefore, the GCF of Fractions 9413/367,9657/146 is 1/53582
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 367,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,146) x common factors =1 x 1 = 1
LCM(367,146) = ( 367 × 146 ) / 1
LCM(367,146) = 53582 / 1
LCM(367,146) = 53582
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 9413/367, 9657/146?
Answer: GCF of Numerators as per given numbers 9413/367, 9657/146 is
GCF of Numerators i.e. for 9413,9657 is 1
LCM of denominators i.e. for 367,146 is 53582.
Thus, GCF of Fractions is 1/53582.Finally, GCF of Fractions for 9413/367, 9657/146 is 1/53582.