Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3347/843,6490/2030
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 3347,6490
Greatest Common Factor of Numerators i.e. GCF of 3347,6490 is 1 .
LCM of Denominators means LCM of 843,2030 as per the given fractions.
LCM of 843,2030 is 1711290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3347,6490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3347
List of positive integer factors of 3347 that divides 3347 without a remainder.
1,3347
Factors of 6490
List of positive integer factors of 6490 that divides 6490 without a remainder.
1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 3347,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 3347,6490 is 1.
Lets's calculate LCM of 843,2030
Given numbers has no common factors except 1. So, there LCM is their product i.e 1711290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1711290
Therefore, the GCF of Fractions 3347/843,6490/2030 is 1/1711290
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 843,2030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,2030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,2030) x common factors =1 x 1 = 1
LCM(843,2030) = ( 843 × 2030 ) / 1
LCM(843,2030) = 1711290 / 1
LCM(843,2030) = 1711290
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 3347/843, 6490/2030?
Answer: GCF of Numerators as per given numbers 3347/843, 6490/2030 is
GCF of Numerators i.e. for 3347,6490 is 1
LCM of denominators i.e. for 843,2030 is 1711290.
Thus, GCF of Fractions is 1/1711290.Finally, GCF of Fractions for 3347/843, 6490/2030 is 1/1711290.