Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/663,3048/946
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 928,3048
Greatest Common Factor of Numerators i.e. GCF of 928,3048 is 8 .
LCM of Denominators means LCM of 663,946 as per the given fractions.
LCM of 663,946 is 627198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,3048
2 | 928, 3048 |
2 | 464, 1524 |
2 | 232, 762 |
116, 381 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 3048
List of positive integer factors of 3048 that divides 3048 without a remainder.
1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 928,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 928,3048 is 8.
Lets's calculate LCM of 663,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 627198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/627198
Therefore, the GCF of Fractions 928/663,3048/946 is 8/627198
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 663,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,946) x common factors =1 x 1 = 1
LCM(663,946) = ( 663 × 946 ) / 1
LCM(663,946) = 627198 / 1
LCM(663,946) = 627198
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 928/663, 3048/946?
Answer: GCF of Numerators as per given numbers 928/663, 3048/946 is
GCF of Numerators i.e. for 928,3048 is 8
LCM of denominators i.e. for 663,946 is 627198.
Thus, GCF of Fractions is 8/627198.Finally, GCF of Fractions for 928/663, 3048/946 is 8/627198.