Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5978/342,8969/9056
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 5978,8969
Greatest Common Factor of Numerators i.e. GCF of 5978,8969 is 1 .
LCM of Denominators means LCM of 342,9056 as per the given fractions.
LCM of 342,9056 is 1548576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5978,8969
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5978
List of positive integer factors of 5978 that divides 5978 without a remainder.
1,2,7,14,49,61,98,122,427,854,2989,5978
Factors of 8969
List of positive integer factors of 8969 that divides 8969 without a remainder.
1,8969
Greatest Common Factor
We found the factors 5978,8969 . The biggest common factor number is the GCF number.
So the greatest common factor 5978,8969 is 1.
Lets's calculate LCM of 342,9056
2 | 342, 9056 |
171, 4528 |
∴ So the LCM of the given numbers is 2 x 171 x 4528 = 1548576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1548576
Therefore, the GCF of Fractions 5978/342,8969/9056 is 1/1548576
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 342,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,9056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,9056) x common factors =2 x 1 = 2
LCM(342,9056) = ( 342 × 9056 ) / 2
LCM(342,9056) = 3097152 / 2
LCM(342,9056) = 1548576
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 5978/342, 8969/9056?
Answer: GCF of Numerators as per given numbers 5978/342, 8969/9056 is
GCF of Numerators i.e. for 5978,8969 is 1
LCM of denominators i.e. for 342,9056 is 1548576.
Thus, GCF of Fractions is 1/1548576.Finally, GCF of Fractions for 5978/342, 8969/9056 is 1/1548576.