Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5959/976,8324/428
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 5959,8324
Greatest Common Factor of Numerators i.e. GCF of 5959,8324 is 1 .
LCM of Denominators means LCM of 976,428 as per the given fractions.
LCM of 976,428 is 104432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5959,8324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5959
List of positive integer factors of 5959 that divides 5959 without a remainder.
1,59,101,5959
Factors of 8324
List of positive integer factors of 8324 that divides 8324 without a remainder.
1,2,4,2081,4162,8324
Greatest Common Factor
We found the factors 5959,8324 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,8324 is 1.
Lets's calculate LCM of 976,428
2 | 976, 428 |
2 | 488, 214 |
244, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 107 = 104432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104432
Therefore, the GCF of Fractions 5959/976,8324/428 is 1/104432
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 976,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,428) x common factors =4 x 1 = 4
LCM(976,428) = ( 976 × 428 ) / 4
LCM(976,428) = 417728 / 4
LCM(976,428) = 104432
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 5959/976, 8324/428?
Answer: GCF of Numerators as per given numbers 5959/976, 8324/428 is
GCF of Numerators i.e. for 5959,8324 is 1
LCM of denominators i.e. for 976,428 is 104432.
Thus, GCF of Fractions is 1/104432.Finally, GCF of Fractions for 5959/976, 8324/428 is 1/104432.