Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8899/85,7432/259
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 8899,7432
Greatest Common Factor of Numerators i.e. GCF of 8899,7432 is 1 .
LCM of Denominators means LCM of 85,259 as per the given fractions.
LCM of 85,259 is 22015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8899,7432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8899
List of positive integer factors of 8899 that divides 8899 without a remainder.
1,11,809,8899
Factors of 7432
List of positive integer factors of 7432 that divides 7432 without a remainder.
1,2,4,8,929,1858,3716,7432
Greatest Common Factor
We found the factors 8899,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 8899,7432 is 1.
Lets's calculate LCM of 85,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 22015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22015
Therefore, the GCF of Fractions 8899/85,7432/259 is 1/22015
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 85,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,259) x common factors =1 x 1 = 1
LCM(85,259) = ( 85 × 259 ) / 1
LCM(85,259) = 22015 / 1
LCM(85,259) = 22015
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 8899/85, 7432/259?
Answer: GCF of Numerators as per given numbers 8899/85, 7432/259 is
GCF of Numerators i.e. for 8899,7432 is 1
LCM of denominators i.e. for 85,259 is 22015.
Thus, GCF of Fractions is 1/22015.Finally, GCF of Fractions for 8899/85, 7432/259 is 1/22015.