Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6934/809,4948/5850
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 6934,4948
Greatest Common Factor of Numerators i.e. GCF of 6934,4948 is 2 .
LCM of Denominators means LCM of 809,5850 as per the given fractions.
LCM of 809,5850 is 4732650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6934,4948
2 | 6934, 4948 |
3467, 2474 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6934
List of positive integer factors of 6934 that divides 6934 without a remainder.
1,2,3467,6934
Factors of 4948
List of positive integer factors of 4948 that divides 4948 without a remainder.
1,2,4,1237,2474,4948
Greatest Common Factor
We found the factors 6934,4948 . The biggest common factor number is the GCF number.
So the greatest common factor 6934,4948 is 2.
Lets's calculate LCM of 809,5850
Given numbers has no common factors except 1. So, there LCM is their product i.e 4732650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4732650
Therefore, the GCF of Fractions 6934/809,4948/5850 is 2/4732650
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 809,5850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,5850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,5850) x common factors =1 x 1 = 1
LCM(809,5850) = ( 809 × 5850 ) / 1
LCM(809,5850) = 4732650 / 1
LCM(809,5850) = 4732650
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 6934/809, 4948/5850?
Answer: GCF of Numerators as per given numbers 6934/809, 4948/5850 is
GCF of Numerators i.e. for 6934,4948 is 2
LCM of denominators i.e. for 809,5850 is 4732650.
Thus, GCF of Fractions is 2/4732650.Finally, GCF of Fractions for 6934/809, 4948/5850 is 2/4732650.