Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6558/23,4566/515
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 6558,4566
Greatest Common Factor of Numerators i.e. GCF of 6558,4566 is 6 .
LCM of Denominators means LCM of 23,515 as per the given fractions.
LCM of 23,515 is 11845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6558,4566
2 | 6558, 4566 |
3 | 3279, 2283 |
1093, 761 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6558
List of positive integer factors of 6558 that divides 6558 without a remainder.
1,2,3,6,1093,2186,3279,6558
Factors of 4566
List of positive integer factors of 4566 that divides 4566 without a remainder.
1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 6558,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 6558,4566 is 6.
Lets's calculate LCM of 23,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 11845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11845
Therefore, the GCF of Fractions 6558/23,4566/515 is 6/11845
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 23,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,515) x common factors =1 x 1 = 1
LCM(23,515) = ( 23 × 515 ) / 1
LCM(23,515) = 11845 / 1
LCM(23,515) = 11845
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 6558/23, 4566/515?
Answer: GCF of Numerators as per given numbers 6558/23, 4566/515 is
GCF of Numerators i.e. for 6558,4566 is 6
LCM of denominators i.e. for 23,515 is 11845.
Thus, GCF of Fractions is 6/11845.Finally, GCF of Fractions for 6558/23, 4566/515 is 6/11845.