Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 393/383,5633/935
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 393,5633
Greatest Common Factor of Numerators i.e. GCF of 393,5633 is 131 .
LCM of Denominators means LCM of 383,935 as per the given fractions.
LCM of 383,935 is 358105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 393,5633
131 | 393, 5633 |
3, 43 |
∴ So the GCF of the given numbers is 131 = 131
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 5633
List of positive integer factors of 5633 that divides 5633 without a remainder.
1,43,131,5633
Greatest Common Factor
We found the factors 393,5633 . The biggest common factor number is the GCF number.
So the greatest common factor 393,5633 is 131.
Lets's calculate LCM of 383,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 358105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 131/358105
Therefore, the GCF of Fractions 393/383,5633/935 is 131/358105
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 383,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,935) x common factors =1 x 1 = 1
LCM(383,935) = ( 383 × 935 ) / 1
LCM(383,935) = 358105 / 1
LCM(383,935) = 358105
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 393/383, 5633/935?
Answer: GCF of Numerators as per given numbers 393/383, 5633/935 is
GCF of Numerators i.e. for 393,5633 is 131
LCM of denominators i.e. for 383,935 is 358105.
Thus, GCF of Fractions is 131/358105.Finally, GCF of Fractions for 393/383, 5633/935 is 131/358105.