Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7718/305,4908/5492
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 7718,4908
Greatest Common Factor of Numerators i.e. GCF of 7718,4908 is 2 .
LCM of Denominators means LCM of 305,5492 as per the given fractions.
LCM of 305,5492 is 1675060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7718,4908
2 | 7718, 4908 |
3859, 2454 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7718
List of positive integer factors of 7718 that divides 7718 without a remainder.
1,2,17,34,227,454,3859,7718
Factors of 4908
List of positive integer factors of 4908 that divides 4908 without a remainder.
1,2,3,4,6,12,409,818,1227,1636,2454,4908
Greatest Common Factor
We found the factors 7718,4908 . The biggest common factor number is the GCF number.
So the greatest common factor 7718,4908 is 2.
Lets's calculate LCM of 305,5492
Given numbers has no common factors except 1. So, there LCM is their product i.e 1675060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1675060
Therefore, the GCF of Fractions 7718/305,4908/5492 is 2/1675060
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 305,5492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5492) x common factors =1 x 1 = 1
LCM(305,5492) = ( 305 × 5492 ) / 1
LCM(305,5492) = 1675060 / 1
LCM(305,5492) = 1675060
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 7718/305, 4908/5492?
Answer: GCF of Numerators as per given numbers 7718/305, 4908/5492 is
GCF of Numerators i.e. for 7718,4908 is 2
LCM of denominators i.e. for 305,5492 is 1675060.
Thus, GCF of Fractions is 2/1675060.Finally, GCF of Fractions for 7718/305, 4908/5492 is 2/1675060.