Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/16,648/3806
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 342,648
Greatest Common Factor of Numerators i.e. GCF of 342,648 is 18 .
LCM of Denominators means LCM of 16,3806 as per the given fractions.
LCM of 16,3806 is 30448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 342,648
2 | 342, 648 |
3 | 171, 324 |
3 | 57, 108 |
19, 36 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 342,648 . The biggest common factor number is the GCF number.
So the greatest common factor 342,648 is 18.
Lets's calculate LCM of 16,3806
2 | 16, 3806 |
8, 1903 |
∴ So the LCM of the given numbers is 2 x 8 x 1903 = 30448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/30448
Therefore, the GCF of Fractions 342/16,648/3806 is 18/30448
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 16,3806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,3806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,3806) x common factors =2 x 1 = 2
LCM(16,3806) = ( 16 × 3806 ) / 2
LCM(16,3806) = 60896 / 2
LCM(16,3806) = 30448
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 342/16, 648/3806?
Answer: GCF of Numerators as per given numbers 342/16, 648/3806 is
GCF of Numerators i.e. for 342,648 is 18
LCM of denominators i.e. for 16,3806 is 30448.
Thus, GCF of Fractions is 18/30448.Finally, GCF of Fractions for 342/16, 648/3806 is 18/30448.