Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5710/203,3937/3343
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 5710,3937
Greatest Common Factor of Numerators i.e. GCF of 5710,3937 is 1 .
LCM of Denominators means LCM of 203,3343 as per the given fractions.
LCM of 203,3343 is 678629 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5710,3937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5710
List of positive integer factors of 5710 that divides 5710 without a remainder.
1,2,5,10,571,1142,2855,5710
Factors of 3937
List of positive integer factors of 3937 that divides 3937 without a remainder.
1,31,127,3937
Greatest Common Factor
We found the factors 5710,3937 . The biggest common factor number is the GCF number.
So the greatest common factor 5710,3937 is 1.
Lets's calculate LCM of 203,3343
Given numbers has no common factors except 1. So, there LCM is their product i.e 678629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678629
Therefore, the GCF of Fractions 5710/203,3937/3343 is 1/678629
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 203,3343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,3343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,3343) x common factors =1 x 1 = 1
LCM(203,3343) = ( 203 × 3343 ) / 1
LCM(203,3343) = 678629 / 1
LCM(203,3343) = 678629
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 5710/203, 3937/3343?
Answer: GCF of Numerators as per given numbers 5710/203, 3937/3343 is
GCF of Numerators i.e. for 5710,3937 is 1
LCM of denominators i.e. for 203,3343 is 678629.
Thus, GCF of Fractions is 1/678629.Finally, GCF of Fractions for 5710/203, 3937/3343 is 1/678629.