Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4996/335,7873/885
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 4996,7873
Greatest Common Factor of Numerators i.e. GCF of 4996,7873 is 1 .
LCM of Denominators means LCM of 335,885 as per the given fractions.
LCM of 335,885 is 59295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4996,7873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4996
List of positive integer factors of 4996 that divides 4996 without a remainder.
1,2,4,1249,2498,4996
Factors of 7873
List of positive integer factors of 7873 that divides 7873 without a remainder.
1,7873
Greatest Common Factor
We found the factors 4996,7873 . The biggest common factor number is the GCF number.
So the greatest common factor 4996,7873 is 1.
Lets's calculate LCM of 335,885
5 | 335, 885 |
67, 177 |
∴ So the LCM of the given numbers is 5 x 67 x 177 = 59295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59295
Therefore, the GCF of Fractions 4996/335,7873/885 is 1/59295
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 335,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,885) x common factors =5 x 1 = 5
LCM(335,885) = ( 335 × 885 ) / 5
LCM(335,885) = 296475 / 5
LCM(335,885) = 59295
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 4996/335, 7873/885?
Answer: GCF of Numerators as per given numbers 4996/335, 7873/885 is
GCF of Numerators i.e. for 4996,7873 is 1
LCM of denominators i.e. for 335,885 is 59295.
Thus, GCF of Fractions is 1/59295.Finally, GCF of Fractions for 4996/335, 7873/885 is 1/59295.