Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/943,418/442
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 246,418
Greatest Common Factor of Numerators i.e. GCF of 246,418 is 2 .
LCM of Denominators means LCM of 943,442 as per the given fractions.
LCM of 943,442 is 416806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 246,418
2 | 246, 418 |
123, 209 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 246,418 . The biggest common factor number is the GCF number.
So the greatest common factor 246,418 is 2.
Lets's calculate LCM of 943,442
Given numbers has no common factors except 1. So, there LCM is their product i.e 416806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/416806
Therefore, the GCF of Fractions 246/943,418/442 is 2/416806
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 943,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,442) x common factors =1 x 1 = 1
LCM(943,442) = ( 943 × 442 ) / 1
LCM(943,442) = 416806 / 1
LCM(943,442) = 416806
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 246/943, 418/442?
Answer: GCF of Numerators as per given numbers 246/943, 418/442 is
GCF of Numerators i.e. for 246,418 is 2
LCM of denominators i.e. for 943,442 is 416806.
Thus, GCF of Fractions is 2/416806.Finally, GCF of Fractions for 246/943, 418/442 is 2/416806.