Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 948/58,384/2443
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 948,384
Greatest Common Factor of Numerators i.e. GCF of 948,384 is 12 .
LCM of Denominators means LCM of 58,2443 as per the given fractions.
LCM of 58,2443 is 141694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 948,384
2 | 948, 384 |
2 | 474, 192 |
3 | 237, 96 |
79, 32 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 948,384 . The biggest common factor number is the GCF number.
So the greatest common factor 948,384 is 12.
Lets's calculate LCM of 58,2443
Given numbers has no common factors except 1. So, there LCM is their product i.e 141694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/141694
Therefore, the GCF of Fractions 948/58,384/2443 is 12/141694
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 58,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,2443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,2443) x common factors =1 x 1 = 1
LCM(58,2443) = ( 58 × 2443 ) / 1
LCM(58,2443) = 141694 / 1
LCM(58,2443) = 141694
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 948/58, 384/2443?
Answer: GCF of Numerators as per given numbers 948/58, 384/2443 is
GCF of Numerators i.e. for 948,384 is 12
LCM of denominators i.e. for 58,2443 is 141694.
Thus, GCF of Fractions is 12/141694.Finally, GCF of Fractions for 948/58, 384/2443 is 12/141694.