Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 783/415,9160/457
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 783,9160
Greatest Common Factor of Numerators i.e. GCF of 783,9160 is 1 .
LCM of Denominators means LCM of 415,457 as per the given fractions.
LCM of 415,457 is 189655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 783,9160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 9160
List of positive integer factors of 9160 that divides 9160 without a remainder.
1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 783,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 783,9160 is 1.
Lets's calculate LCM of 415,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 189655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189655
Therefore, the GCF of Fractions 783/415,9160/457 is 1/189655
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 415,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,457) x common factors =1 x 1 = 1
LCM(415,457) = ( 415 × 457 ) / 1
LCM(415,457) = 189655 / 1
LCM(415,457) = 189655
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 783/415, 9160/457?
Answer: GCF of Numerators as per given numbers 783/415, 9160/457 is
GCF of Numerators i.e. for 783,9160 is 1
LCM of denominators i.e. for 415,457 is 189655.
Thus, GCF of Fractions is 1/189655.Finally, GCF of Fractions for 783/415, 9160/457 is 1/189655.