Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6586/260,8380/3966
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 6586,8380
Greatest Common Factor of Numerators i.e. GCF of 6586,8380 is 2 .
LCM of Denominators means LCM of 260,3966 as per the given fractions.
LCM of 260,3966 is 515580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6586,8380
2 | 6586, 8380 |
3293, 4190 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6586
List of positive integer factors of 6586 that divides 6586 without a remainder.
1,2,37,74,89,178,3293,6586
Factors of 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 6586,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 6586,8380 is 2.
Lets's calculate LCM of 260,3966
2 | 260, 3966 |
130, 1983 |
∴ So the LCM of the given numbers is 2 x 130 x 1983 = 515580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/515580
Therefore, the GCF of Fractions 6586/260,8380/3966 is 2/515580
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 260,3966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,3966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,3966) x common factors =2 x 1 = 2
LCM(260,3966) = ( 260 × 3966 ) / 2
LCM(260,3966) = 1031160 / 2
LCM(260,3966) = 515580
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 6586/260, 8380/3966?
Answer: GCF of Numerators as per given numbers 6586/260, 8380/3966 is
GCF of Numerators i.e. for 6586,8380 is 2
LCM of denominators i.e. for 260,3966 is 515580.
Thus, GCF of Fractions is 2/515580.Finally, GCF of Fractions for 6586/260, 8380/3966 is 2/515580.