Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9093/272,4982/8703
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 9093,4982
Greatest Common Factor of Numerators i.e. GCF of 9093,4982 is 1 .
LCM of Denominators means LCM of 272,8703 as per the given fractions.
LCM of 272,8703 is 2367216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9093,4982
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9093
List of positive integer factors of 9093 that divides 9093 without a remainder.
1,3,7,21,433,1299,3031,9093
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 9093,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 9093,4982 is 1.
Lets's calculate LCM of 272,8703
Given numbers has no common factors except 1. So, there LCM is their product i.e 2367216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2367216
Therefore, the GCF of Fractions 9093/272,4982/8703 is 1/2367216
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 272,8703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,8703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,8703) x common factors =1 x 1 = 1
LCM(272,8703) = ( 272 × 8703 ) / 1
LCM(272,8703) = 2367216 / 1
LCM(272,8703) = 2367216
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 9093/272, 4982/8703?
Answer: GCF of Numerators as per given numbers 9093/272, 4982/8703 is
GCF of Numerators i.e. for 9093,4982 is 1
LCM of denominators i.e. for 272,8703 is 2367216.
Thus, GCF of Fractions is 1/2367216.Finally, GCF of Fractions for 9093/272, 4982/8703 is 1/2367216.