Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8839/618,1875/1352
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 8839,1875
Greatest Common Factor of Numerators i.e. GCF of 8839,1875 is 1 .
LCM of Denominators means LCM of 618,1352 as per the given fractions.
LCM of 618,1352 is 417768 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8839,1875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8839
List of positive integer factors of 8839 that divides 8839 without a remainder.
1,8839
Factors of 1875
List of positive integer factors of 1875 that divides 1875 without a remainder.
1,3,5,15,25,75,125,375,625,1875
Greatest Common Factor
We found the factors 8839,1875 . The biggest common factor number is the GCF number.
So the greatest common factor 8839,1875 is 1.
Lets's calculate LCM of 618,1352
2 | 618, 1352 |
309, 676 |
∴ So the LCM of the given numbers is 2 x 309 x 676 = 417768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417768
Therefore, the GCF of Fractions 8839/618,1875/1352 is 1/417768
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 618,1352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,1352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,1352) x common factors =2 x 1 = 2
LCM(618,1352) = ( 618 × 1352 ) / 2
LCM(618,1352) = 835536 / 2
LCM(618,1352) = 417768
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 8839/618, 1875/1352?
Answer: GCF of Numerators as per given numbers 8839/618, 1875/1352 is
GCF of Numerators i.e. for 8839,1875 is 1
LCM of denominators i.e. for 618,1352 is 417768.
Thus, GCF of Fractions is 1/417768.Finally, GCF of Fractions for 8839/618, 1875/1352 is 1/417768.