Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/6819,409/7606
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 308,409
Greatest Common Factor of Numerators i.e. GCF of 308,409 is 1 .
LCM of Denominators means LCM of 6819,7606 as per the given fractions.
LCM of 6819,7606 is 51865314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 308,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 308,409 . The biggest common factor number is the GCF number.
So the greatest common factor 308,409 is 1.
Lets's calculate LCM of 6819,7606
Given numbers has no common factors except 1. So, there LCM is their product i.e 51865314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51865314
Therefore, the GCF of Fractions 308/6819,409/7606 is 1/51865314
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 6819,7606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6819,7606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6819,7606) x common factors =1 x 1 = 1
LCM(6819,7606) = ( 6819 × 7606 ) / 1
LCM(6819,7606) = 51865314 / 1
LCM(6819,7606) = 51865314
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 308/6819, 409/7606?
Answer: GCF of Numerators as per given numbers 308/6819, 409/7606 is
GCF of Numerators i.e. for 308,409 is 1
LCM of denominators i.e. for 6819,7606 is 51865314.
Thus, GCF of Fractions is 1/51865314.Finally, GCF of Fractions for 308/6819, 409/7606 is 1/51865314.