Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3011/818,8842/386
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 3011,8842
Greatest Common Factor of Numerators i.e. GCF of 3011,8842 is 1 .
LCM of Denominators means LCM of 818,386 as per the given fractions.
LCM of 818,386 is 157874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3011,8842
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3011
List of positive integer factors of 3011 that divides 3011 without a remainder.
1,3011
Factors of 8842
List of positive integer factors of 8842 that divides 8842 without a remainder.
1,2,4421,8842
Greatest Common Factor
We found the factors 3011,8842 . The biggest common factor number is the GCF number.
So the greatest common factor 3011,8842 is 1.
Lets's calculate LCM of 818,386
2 | 818, 386 |
409, 193 |
∴ So the LCM of the given numbers is 2 x 409 x 193 = 157874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157874
Therefore, the GCF of Fractions 3011/818,8842/386 is 1/157874
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 818,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,386) x common factors =2 x 1 = 2
LCM(818,386) = ( 818 × 386 ) / 2
LCM(818,386) = 315748 / 2
LCM(818,386) = 157874
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 3011/818, 8842/386?
Answer: GCF of Numerators as per given numbers 3011/818, 8842/386 is
GCF of Numerators i.e. for 3011,8842 is 1
LCM of denominators i.e. for 818,386 is 157874.
Thus, GCF of Fractions is 1/157874.Finally, GCF of Fractions for 3011/818, 8842/386 is 1/157874.