Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8761/98,4843/259
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 8761,4843
Greatest Common Factor of Numerators i.e. GCF of 8761,4843 is 1 .
LCM of Denominators means LCM of 98,259 as per the given fractions.
LCM of 98,259 is 3626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8761,4843
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8761
List of positive integer factors of 8761 that divides 8761 without a remainder.
1,8761
Factors of 4843
List of positive integer factors of 4843 that divides 4843 without a remainder.
1,29,167,4843
Greatest Common Factor
We found the factors 8761,4843 . The biggest common factor number is the GCF number.
So the greatest common factor 8761,4843 is 1.
Lets's calculate LCM of 98,259
7 | 98, 259 |
14, 37 |
∴ So the LCM of the given numbers is 7 x 14 x 37 = 3626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3626
Therefore, the GCF of Fractions 8761/98,4843/259 is 1/3626
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 98,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,259) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(98,259) x common factors =7 x 1 = 7
LCM(98,259) = ( 98 × 259 ) / 7
LCM(98,259) = 25382 / 7
LCM(98,259) = 3626
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 8761/98, 4843/259?
Answer: GCF of Numerators as per given numbers 8761/98, 4843/259 is
GCF of Numerators i.e. for 8761,4843 is 1
LCM of denominators i.e. for 98,259 is 3626.
Thus, GCF of Fractions is 1/3626.Finally, GCF of Fractions for 8761/98, 4843/259 is 1/3626.