Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1928/949,2487/9319
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 1928,2487
Greatest Common Factor of Numerators i.e. GCF of 1928,2487 is 1 .
LCM of Denominators means LCM of 949,9319 as per the given fractions.
LCM of 949,9319 is 8843731 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1928,2487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1928
List of positive integer factors of 1928 that divides 1928 without a remainder.
1,2,4,8,241,482,964,1928
Factors of 2487
List of positive integer factors of 2487 that divides 2487 without a remainder.
1,3,829,2487
Greatest Common Factor
We found the factors 1928,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,2487 is 1.
Lets's calculate LCM of 949,9319
Given numbers has no common factors except 1. So, there LCM is their product i.e 8843731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8843731
Therefore, the GCF of Fractions 1928/949,2487/9319 is 1/8843731
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 949,9319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,9319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,9319) x common factors =1 x 1 = 1
LCM(949,9319) = ( 949 × 9319 ) / 1
LCM(949,9319) = 8843731 / 1
LCM(949,9319) = 8843731
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 1928/949, 2487/9319?
Answer: GCF of Numerators as per given numbers 1928/949, 2487/9319 is
GCF of Numerators i.e. for 1928,2487 is 1
LCM of denominators i.e. for 949,9319 is 8843731.
Thus, GCF of Fractions is 1/8843731.Finally, GCF of Fractions for 1928/949, 2487/9319 is 1/8843731.