Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 381/463,2649/719
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 381,2649
Greatest Common Factor of Numerators i.e. GCF of 381,2649 is 3 .
LCM of Denominators means LCM of 463,719 as per the given fractions.
LCM of 463,719 is 332897 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 381,2649
3 | 381, 2649 |
127, 883 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 2649
List of positive integer factors of 2649 that divides 2649 without a remainder.
1,3,883,2649
Greatest Common Factor
We found the factors 381,2649 . The biggest common factor number is the GCF number.
So the greatest common factor 381,2649 is 3.
Lets's calculate LCM of 463,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 332897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/332897
Therefore, the GCF of Fractions 381/463,2649/719 is 3/332897
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 463,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,719) x common factors =1 x 1 = 1
LCM(463,719) = ( 463 × 719 ) / 1
LCM(463,719) = 332897 / 1
LCM(463,719) = 332897
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 381/463, 2649/719?
Answer: GCF of Numerators as per given numbers 381/463, 2649/719 is
GCF of Numerators i.e. for 381,2649 is 3
LCM of denominators i.e. for 463,719 is 332897.
Thus, GCF of Fractions is 3/332897.Finally, GCF of Fractions for 381/463, 2649/719 is 3/332897.