Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/90,214/66,322/796
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 244,214,322
Greatest Common Factor of Numerators i.e. GCF of 244,214,322 is 2 .
LCM of Denominators means LCM of 90,66,796 as per the given fractions.
LCM of 90,66,796 is 394020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,214,322
2 | 244, 214, 322 |
122, 107, 161 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 244,214,322 . The biggest common factor number is the GCF number.
So the greatest common factor 244,214,322 is 2.
Lets's calculate LCM of 90,66,796
2 | 90, 66, 796 |
3 | 45, 33, 398 |
15, 11, 398 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 398 = 394020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/394020
Therefore, the GCF of Fractions 244/90,214/66,322/796 is 2/394020
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 90,66,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,66,796) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(90,66,796) x common factors =2 x 6 = 12
LCM(90,66,796) = ( 90 × 66 × 796 ) / 12
LCM(90,66,796) = 4728240 / 12
LCM(90,66,796) = 394020
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 244/90, 214/66, 322/796?
Answer: GCF of Numerators as per given numbers 244/90, 214/66, 322/796 is
GCF of Numerators i.e. for 244,214,322 is 2
LCM of denominators i.e. for 90,66,796 is 394020.
Thus, GCF of Fractions is 2/394020.Finally, GCF of Fractions for 244/90, 214/66, 322/796 is 2/394020.