Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2430/67,4386/104
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 2430,4386
Greatest Common Factor of Numerators i.e. GCF of 2430,4386 is 6 .
LCM of Denominators means LCM of 67,104 as per the given fractions.
LCM of 67,104 is 6968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2430,4386
2 | 2430, 4386 |
3 | 1215, 2193 |
405, 731 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2430
List of positive integer factors of 2430 that divides 2430 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Factors of 4386
List of positive integer factors of 4386 that divides 4386 without a remainder.
1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Greatest Common Factor
We found the factors 2430,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 2430,4386 is 6.
Lets's calculate LCM of 67,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 6968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6968
Therefore, the GCF of Fractions 2430/67,4386/104 is 6/6968
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 67,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,104) x common factors =1 x 1 = 1
LCM(67,104) = ( 67 × 104 ) / 1
LCM(67,104) = 6968 / 1
LCM(67,104) = 6968
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 2430/67, 4386/104?
Answer: GCF of Numerators as per given numbers 2430/67, 4386/104 is
GCF of Numerators i.e. for 2430,4386 is 6
LCM of denominators i.e. for 67,104 is 6968.
Thus, GCF of Fractions is 6/6968.Finally, GCF of Fractions for 2430/67, 4386/104 is 6/6968.