Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8893/35,1642/233
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 8893,1642
Greatest Common Factor of Numerators i.e. GCF of 8893,1642 is 1 .
LCM of Denominators means LCM of 35,233 as per the given fractions.
LCM of 35,233 is 8155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8893,1642
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8893
List of positive integer factors of 8893 that divides 8893 without a remainder.
1,8893
Factors of 1642
List of positive integer factors of 1642 that divides 1642 without a remainder.
1,2,821,1642
Greatest Common Factor
We found the factors 8893,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 8893,1642 is 1.
Lets's calculate LCM of 35,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 8155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8155
Therefore, the GCF of Fractions 8893/35,1642/233 is 1/8155
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 35,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,233) x common factors =1 x 1 = 1
LCM(35,233) = ( 35 × 233 ) / 1
LCM(35,233) = 8155 / 1
LCM(35,233) = 8155
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 8893/35, 1642/233?
Answer: GCF of Numerators as per given numbers 8893/35, 1642/233 is
GCF of Numerators i.e. for 8893,1642 is 1
LCM of denominators i.e. for 35,233 is 8155.
Thus, GCF of Fractions is 1/8155.Finally, GCF of Fractions for 8893/35, 1642/233 is 1/8155.