Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/243,7366/1812
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 495,7366
Greatest Common Factor of Numerators i.e. GCF of 495,7366 is 1 .
LCM of Denominators means LCM of 243,1812 as per the given fractions.
LCM of 243,1812 is 146772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 495,7366
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 7366
List of positive integer factors of 7366 that divides 7366 without a remainder.
1,2,29,58,127,254,3683,7366
Greatest Common Factor
We found the factors 495,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 495,7366 is 1.
Lets's calculate LCM of 243,1812
3 | 243, 1812 |
81, 604 |
∴ So the LCM of the given numbers is 3 x 81 x 604 = 146772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146772
Therefore, the GCF of Fractions 495/243,7366/1812 is 1/146772
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 243,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,1812) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,1812) x common factors =3 x 1 = 3
LCM(243,1812) = ( 243 × 1812 ) / 3
LCM(243,1812) = 440316 / 3
LCM(243,1812) = 146772
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 495/243, 7366/1812?
Answer: GCF of Numerators as per given numbers 495/243, 7366/1812 is
GCF of Numerators i.e. for 495,7366 is 1
LCM of denominators i.e. for 243,1812 is 146772.
Thus, GCF of Fractions is 1/146772.Finally, GCF of Fractions for 495/243, 7366/1812 is 1/146772.