Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/5160,215/6903
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 426,215
Greatest Common Factor of Numerators i.e. GCF of 426,215 is 1 .
LCM of Denominators means LCM of 5160,6903 as per the given fractions.
LCM of 5160,6903 is 11873160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 426,215 . The biggest common factor number is the GCF number.
So the greatest common factor 426,215 is 1.
Lets's calculate LCM of 5160,6903
3 | 5160, 6903 |
1720, 2301 |
∴ So the LCM of the given numbers is 3 x 1720 x 2301 = 11873160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11873160
Therefore, the GCF of Fractions 426/5160,215/6903 is 1/11873160
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 5160,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5160,6903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5160,6903) x common factors =3 x 1 = 3
LCM(5160,6903) = ( 5160 × 6903 ) / 3
LCM(5160,6903) = 35619480 / 3
LCM(5160,6903) = 11873160
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 426/5160, 215/6903?
Answer: GCF of Numerators as per given numbers 426/5160, 215/6903 is
GCF of Numerators i.e. for 426,215 is 1
LCM of denominators i.e. for 5160,6903 is 11873160.
Thus, GCF of Fractions is 1/11873160.Finally, GCF of Fractions for 426/5160, 215/6903 is 1/11873160.