Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/903,3094/4178
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 818,3094
Greatest Common Factor of Numerators i.e. GCF of 818,3094 is 2 .
LCM of Denominators means LCM of 903,4178 as per the given fractions.
LCM of 903,4178 is 3772734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,3094
2 | 818, 3094 |
409, 1547 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 3094
List of positive integer factors of 3094 that divides 3094 without a remainder.
1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Greatest Common Factor
We found the factors 818,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 818,3094 is 2.
Lets's calculate LCM of 903,4178
Given numbers has no common factors except 1. So, there LCM is their product i.e 3772734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3772734
Therefore, the GCF of Fractions 818/903,3094/4178 is 2/3772734
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 903,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,4178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,4178) x common factors =1 x 1 = 1
LCM(903,4178) = ( 903 × 4178 ) / 1
LCM(903,4178) = 3772734 / 1
LCM(903,4178) = 3772734
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 818/903, 3094/4178?
Answer: GCF of Numerators as per given numbers 818/903, 3094/4178 is
GCF of Numerators i.e. for 818,3094 is 2
LCM of denominators i.e. for 903,4178 is 3772734.
Thus, GCF of Fractions is 2/3772734.Finally, GCF of Fractions for 818/903, 3094/4178 is 2/3772734.