Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8293/461,1649/9019
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 8293,1649
Greatest Common Factor of Numerators i.e. GCF of 8293,1649 is 1 .
LCM of Denominators means LCM of 461,9019 as per the given fractions.
LCM of 461,9019 is 4157759 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8293,1649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8293
List of positive integer factors of 8293 that divides 8293 without a remainder.
1,8293
Factors of 1649
List of positive integer factors of 1649 that divides 1649 without a remainder.
1,17,97,1649
Greatest Common Factor
We found the factors 8293,1649 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,1649 is 1.
Lets's calculate LCM of 461,9019
Given numbers has no common factors except 1. So, there LCM is their product i.e 4157759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4157759
Therefore, the GCF of Fractions 8293/461,1649/9019 is 1/4157759
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 461,9019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,9019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,9019) x common factors =1 x 1 = 1
LCM(461,9019) = ( 461 × 9019 ) / 1
LCM(461,9019) = 4157759 / 1
LCM(461,9019) = 4157759
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 8293/461, 1649/9019?
Answer: GCF of Numerators as per given numbers 8293/461, 1649/9019 is
GCF of Numerators i.e. for 8293,1649 is 1
LCM of denominators i.e. for 461,9019 is 4157759.
Thus, GCF of Fractions is 1/4157759.Finally, GCF of Fractions for 8293/461, 1649/9019 is 1/4157759.