Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2278/50,9993/934
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 2278,9993
Greatest Common Factor of Numerators i.e. GCF of 2278,9993 is 1 .
LCM of Denominators means LCM of 50,934 as per the given fractions.
LCM of 50,934 is 23350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2278,9993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2278
List of positive integer factors of 2278 that divides 2278 without a remainder.
1,2,17,34,67,134,1139,2278
Factors of 9993
List of positive integer factors of 9993 that divides 9993 without a remainder.
1,3,3331,9993
Greatest Common Factor
We found the factors 2278,9993 . The biggest common factor number is the GCF number.
So the greatest common factor 2278,9993 is 1.
Lets's calculate LCM of 50,934
2 | 50, 934 |
25, 467 |
∴ So the LCM of the given numbers is 2 x 25 x 467 = 23350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23350
Therefore, the GCF of Fractions 2278/50,9993/934 is 1/23350
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 50,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,934) x common factors =2 x 1 = 2
LCM(50,934) = ( 50 × 934 ) / 2
LCM(50,934) = 46700 / 2
LCM(50,934) = 23350
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 2278/50, 9993/934?
Answer: GCF of Numerators as per given numbers 2278/50, 9993/934 is
GCF of Numerators i.e. for 2278,9993 is 1
LCM of denominators i.e. for 50,934 is 23350.
Thus, GCF of Fractions is 1/23350.Finally, GCF of Fractions for 2278/50, 9993/934 is 1/23350.