Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1033/230,8990/5655
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 1033,8990
Greatest Common Factor of Numerators i.e. GCF of 1033,8990 is 1 .
LCM of Denominators means LCM of 230,5655 as per the given fractions.
LCM of 230,5655 is 260130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1033,8990
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1,1033
Factors of 8990
List of positive integer factors of 8990 that divides 8990 without a remainder.
1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Greatest Common Factor
We found the factors 1033,8990 . The biggest common factor number is the GCF number.
So the greatest common factor 1033,8990 is 1.
Lets's calculate LCM of 230,5655
5 | 230, 5655 |
46, 1131 |
∴ So the LCM of the given numbers is 5 x 46 x 1131 = 260130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260130
Therefore, the GCF of Fractions 1033/230,8990/5655 is 1/260130
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 230,5655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,5655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(230,5655) x common factors =5 x 1 = 5
LCM(230,5655) = ( 230 × 5655 ) / 5
LCM(230,5655) = 1300650 / 5
LCM(230,5655) = 260130
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 1033/230, 8990/5655?
Answer: GCF of Numerators as per given numbers 1033/230, 8990/5655 is
GCF of Numerators i.e. for 1033,8990 is 1
LCM of denominators i.e. for 230,5655 is 260130.
Thus, GCF of Fractions is 1/260130.Finally, GCF of Fractions for 1033/230, 8990/5655 is 1/260130.