Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1869/346,8891/439
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 1869,8891
Greatest Common Factor of Numerators i.e. GCF of 1869,8891 is 1 .
LCM of Denominators means LCM of 346,439 as per the given fractions.
LCM of 346,439 is 151894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1869,8891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1869
List of positive integer factors of 1869 that divides 1869 without a remainder.
1,3,7,21,89,267,623,1869
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Greatest Common Factor
We found the factors 1869,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,8891 is 1.
Lets's calculate LCM of 346,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 151894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151894
Therefore, the GCF of Fractions 1869/346,8891/439 is 1/151894
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 346,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,439) x common factors =1 x 1 = 1
LCM(346,439) = ( 346 × 439 ) / 1
LCM(346,439) = 151894 / 1
LCM(346,439) = 151894
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 1869/346, 8891/439?
Answer: GCF of Numerators as per given numbers 1869/346, 8891/439 is
GCF of Numerators i.e. for 1869,8891 is 1
LCM of denominators i.e. for 346,439 is 151894.
Thus, GCF of Fractions is 1/151894.Finally, GCF of Fractions for 1869/346, 8891/439 is 1/151894.