Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/440,774/205
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 244,774
Greatest Common Factor of Numerators i.e. GCF of 244,774 is 2 .
LCM of Denominators means LCM of 440,205 as per the given fractions.
LCM of 440,205 is 18040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,774
2 | 244, 774 |
122, 387 |
∴ 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 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 244,774 . The biggest common factor number is the GCF number.
So the greatest common factor 244,774 is 2.
Lets's calculate LCM of 440,205
5 | 440, 205 |
88, 41 |
∴ So the LCM of the given numbers is 5 x 88 x 41 = 18040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18040
Therefore, the GCF of Fractions 244/440,774/205 is 2/18040
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 440,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(440,205) x common factors =5 x 1 = 5
LCM(440,205) = ( 440 × 205 ) / 5
LCM(440,205) = 90200 / 5
LCM(440,205) = 18040
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 244/440, 774/205?
Answer: GCF of Numerators as per given numbers 244/440, 774/205 is
GCF of Numerators i.e. for 244,774 is 2
LCM of denominators i.e. for 440,205 is 18040.
Thus, GCF of Fractions is 2/18040.Finally, GCF of Fractions for 244/440, 774/205 is 2/18040.