Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3081/267,4903/938
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 3081,4903
Greatest Common Factor of Numerators i.e. GCF of 3081,4903 is 1 .
LCM of Denominators means LCM of 267,938 as per the given fractions.
LCM of 267,938 is 250446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3081,4903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3081
List of positive integer factors of 3081 that divides 3081 without a remainder.
1,3,13,39,79,237,1027,3081
Factors of 4903
List of positive integer factors of 4903 that divides 4903 without a remainder.
1,4903
Greatest Common Factor
We found the factors 3081,4903 . The biggest common factor number is the GCF number.
So the greatest common factor 3081,4903 is 1.
Lets's calculate LCM of 267,938
Given numbers has no common factors except 1. So, there LCM is their product i.e 250446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250446
Therefore, the GCF of Fractions 3081/267,4903/938 is 1/250446
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 267,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,938) x common factors =1 x 1 = 1
LCM(267,938) = ( 267 × 938 ) / 1
LCM(267,938) = 250446 / 1
LCM(267,938) = 250446
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 3081/267, 4903/938?
Answer: GCF of Numerators as per given numbers 3081/267, 4903/938 is
GCF of Numerators i.e. for 3081,4903 is 1
LCM of denominators i.e. for 267,938 is 250446.
Thus, GCF of Fractions is 1/250446.Finally, GCF of Fractions for 3081/267, 4903/938 is 1/250446.