Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3258/204,7226/6595
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 3258,7226
Greatest Common Factor of Numerators i.e. GCF of 3258,7226 is 2 .
LCM of Denominators means LCM of 204,6595 as per the given fractions.
LCM of 204,6595 is 1345380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3258,7226
2 | 3258, 7226 |
1629, 3613 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3258
List of positive integer factors of 3258 that divides 3258 without a remainder.
1,2,3,6,9,18,181,362,543,1086,1629,3258
Factors of 7226
List of positive integer factors of 7226 that divides 7226 without a remainder.
1,2,3613,7226
Greatest Common Factor
We found the factors 3258,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,7226 is 2.
Lets's calculate LCM of 204,6595
Given numbers has no common factors except 1. So, there LCM is their product i.e 1345380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1345380
Therefore, the GCF of Fractions 3258/204,7226/6595 is 2/1345380
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 204,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,6595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,6595) x common factors =1 x 1 = 1
LCM(204,6595) = ( 204 × 6595 ) / 1
LCM(204,6595) = 1345380 / 1
LCM(204,6595) = 1345380
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 3258/204, 7226/6595?
Answer: GCF of Numerators as per given numbers 3258/204, 7226/6595 is
GCF of Numerators i.e. for 3258,7226 is 2
LCM of denominators i.e. for 204,6595 is 1345380.
Thus, GCF of Fractions is 2/1345380.Finally, GCF of Fractions for 3258/204, 7226/6595 is 2/1345380.