Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/651,3819/227
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 663,3819
Greatest Common Factor of Numerators i.e. GCF of 663,3819 is 3 .
LCM of Denominators means LCM of 651,227 as per the given fractions.
LCM of 651,227 is 147777 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,3819
3 | 663, 3819 |
221, 1273 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 3819
List of positive integer factors of 3819 that divides 3819 without a remainder.
1,3,19,57,67,201,1273,3819
Greatest Common Factor
We found the factors 663,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 663,3819 is 3.
Lets's calculate LCM of 651,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 147777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/147777
Therefore, the GCF of Fractions 663/651,3819/227 is 3/147777
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 651,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,227) x common factors =1 x 1 = 1
LCM(651,227) = ( 651 × 227 ) / 1
LCM(651,227) = 147777 / 1
LCM(651,227) = 147777
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 663/651, 3819/227?
Answer: GCF of Numerators as per given numbers 663/651, 3819/227 is
GCF of Numerators i.e. for 663,3819 is 3
LCM of denominators i.e. for 651,227 is 147777.
Thus, GCF of Fractions is 3/147777.Finally, GCF of Fractions for 663/651, 3819/227 is 3/147777.