Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4862/84,4850/908
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 4862,4850
Greatest Common Factor of Numerators i.e. GCF of 4862,4850 is 2 .
LCM of Denominators means LCM of 84,908 as per the given fractions.
LCM of 84,908 is 19068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4862,4850
2 | 4862, 4850 |
2431, 2425 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4862
List of positive integer factors of 4862 that divides 4862 without a remainder.
1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Factors of 4850
List of positive integer factors of 4850 that divides 4850 without a remainder.
1,2,5,10,25,50,97,194,485,970,2425,4850
Greatest Common Factor
We found the factors 4862,4850 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,4850 is 2.
Lets's calculate LCM of 84,908
2 | 84, 908 |
2 | 42, 454 |
21, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 227 = 19068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19068
Therefore, the GCF of Fractions 4862/84,4850/908 is 2/19068
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 84,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(84,908) x common factors =4 x 1 = 4
LCM(84,908) = ( 84 × 908 ) / 4
LCM(84,908) = 76272 / 4
LCM(84,908) = 19068
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 4862/84, 4850/908?
Answer: GCF of Numerators as per given numbers 4862/84, 4850/908 is
GCF of Numerators i.e. for 4862,4850 is 2
LCM of denominators i.e. for 84,908 is 19068.
Thus, GCF of Fractions is 2/19068.Finally, GCF of Fractions for 4862/84, 4850/908 is 2/19068.