Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9466/103,4617/436
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 9466,4617
Greatest Common Factor of Numerators i.e. GCF of 9466,4617 is 1 .
LCM of Denominators means LCM of 103,436 as per the given fractions.
LCM of 103,436 is 44908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9466,4617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9466
List of positive integer factors of 9466 that divides 9466 without a remainder.
1,2,4733,9466
Factors of 4617
List of positive integer factors of 4617 that divides 4617 without a remainder.
1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 9466,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 9466,4617 is 1.
Lets's calculate LCM of 103,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 44908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44908
Therefore, the GCF of Fractions 9466/103,4617/436 is 1/44908
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 103,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,436) x common factors =1 x 1 = 1
LCM(103,436) = ( 103 × 436 ) / 1
LCM(103,436) = 44908 / 1
LCM(103,436) = 44908
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 9466/103, 4617/436?
Answer: GCF of Numerators as per given numbers 9466/103, 4617/436 is
GCF of Numerators i.e. for 9466,4617 is 1
LCM of denominators i.e. for 103,436 is 44908.
Thus, GCF of Fractions is 1/44908.Finally, GCF of Fractions for 9466/103, 4617/436 is 1/44908.