Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 111/813,3558/4978
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 111,3558
Greatest Common Factor of Numerators i.e. GCF of 111,3558 is 3 .
LCM of Denominators means LCM of 813,4978 as per the given fractions.
LCM of 813,4978 is 4047114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 111,3558
3 | 111, 3558 |
37, 1186 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 3558
List of positive integer factors of 3558 that divides 3558 without a remainder.
1,2,3,6,593,1186,1779,3558
Greatest Common Factor
We found the factors 111,3558 . The biggest common factor number is the GCF number.
So the greatest common factor 111,3558 is 3.
Lets's calculate LCM of 813,4978
Given numbers has no common factors except 1. So, there LCM is their product i.e 4047114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4047114
Therefore, the GCF of Fractions 111/813,3558/4978 is 3/4047114
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 813,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,4978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,4978) x common factors =1 x 1 = 1
LCM(813,4978) = ( 813 × 4978 ) / 1
LCM(813,4978) = 4047114 / 1
LCM(813,4978) = 4047114
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 111/813, 3558/4978?
Answer: GCF of Numerators as per given numbers 111/813, 3558/4978 is
GCF of Numerators i.e. for 111,3558 is 3
LCM of denominators i.e. for 813,4978 is 4047114.
Thus, GCF of Fractions is 3/4047114.Finally, GCF of Fractions for 111/813, 3558/4978 is 3/4047114.