Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/950,945/424,940/983
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 518,945,940
Greatest Common Factor of Numerators i.e. GCF of 518,945,940 is 1 .
LCM of Denominators means LCM of 950,424,983 as per the given fractions.
LCM of 950,424,983 is 197976200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 518,945,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 518,945,940 . The biggest common factor number is the GCF number.
So the greatest common factor 518,945,940 is 1.
Lets's calculate LCM of 950,424,983
2 | 950, 424, 983 |
475, 212, 983 |
∴ So the LCM of the given numbers is 2 x 475 x 212 x 983 = 197976200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197976200
Therefore, the GCF of Fractions 518/950,945/424,940/983 is 1/197976200
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 950,424,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,424,983) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(950,424,983) x common factors =1 x 2 = 2
LCM(950,424,983) = ( 950 × 424 × 983 ) / 2
LCM(950,424,983) = 395952400 / 2
LCM(950,424,983) = 197976200
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 518/950, 945/424, 940/983?
Answer: GCF of Numerators as per given numbers 518/950, 945/424, 940/983 is
GCF of Numerators i.e. for 518,945,940 is 1
LCM of denominators i.e. for 950,424,983 is 197976200.
Thus, GCF of Fractions is 1/197976200.Finally, GCF of Fractions for 518/950, 945/424, 940/983 is 1/197976200.