Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5293/81,8802/424
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 5293,8802
Greatest Common Factor of Numerators i.e. GCF of 5293,8802 is 1 .
LCM of Denominators means LCM of 81,424 as per the given fractions.
LCM of 81,424 is 34344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5293,8802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5293
List of positive integer factors of 5293 that divides 5293 without a remainder.
1,67,79,5293
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 5293,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 5293,8802 is 1.
Lets's calculate LCM of 81,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 34344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34344
Therefore, the GCF of Fractions 5293/81,8802/424 is 1/34344
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 81,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,424) x common factors =1 x 1 = 1
LCM(81,424) = ( 81 × 424 ) / 1
LCM(81,424) = 34344 / 1
LCM(81,424) = 34344
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 5293/81, 8802/424?
Answer: GCF of Numerators as per given numbers 5293/81, 8802/424 is
GCF of Numerators i.e. for 5293,8802 is 1
LCM of denominators i.e. for 81,424 is 34344.
Thus, GCF of Fractions is 1/34344.Finally, GCF of Fractions for 5293/81, 8802/424 is 1/34344.