Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5518/626,4796/6047
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 5518,4796
Greatest Common Factor of Numerators i.e. GCF of 5518,4796 is 2 .
LCM of Denominators means LCM of 626,6047 as per the given fractions.
LCM of 626,6047 is 3785422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5518,4796
2 | 5518, 4796 |
2759, 2398 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5518
List of positive integer factors of 5518 that divides 5518 without a remainder.
1,2,31,62,89,178,2759,5518
Factors of 4796
List of positive integer factors of 4796 that divides 4796 without a remainder.
1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors 5518,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 5518,4796 is 2.
Lets's calculate LCM of 626,6047
Given numbers has no common factors except 1. So, there LCM is their product i.e 3785422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3785422
Therefore, the GCF of Fractions 5518/626,4796/6047 is 2/3785422
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 626,6047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,6047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,6047) x common factors =1 x 1 = 1
LCM(626,6047) = ( 626 × 6047 ) / 1
LCM(626,6047) = 3785422 / 1
LCM(626,6047) = 3785422
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 5518/626, 4796/6047?
Answer: GCF of Numerators as per given numbers 5518/626, 4796/6047 is
GCF of Numerators i.e. for 5518,4796 is 2
LCM of denominators i.e. for 626,6047 is 3785422.
Thus, GCF of Fractions is 2/3785422.Finally, GCF of Fractions for 5518/626, 4796/6047 is 2/3785422.