Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/39,87/35,91/467,287/382
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 8,87,91,287
Greatest Common Factor of Numerators i.e. GCF of 8,87,91,287 is 1 .
LCM of Denominators means LCM of 39,35,467,382 as per the given fractions.
LCM of 39,35,467,382 is 243507810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,87,91,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 8,87,91,287 . The biggest common factor number is the GCF number.
So the greatest common factor 8,87,91,287 is 1.
Lets's calculate LCM of 39,35,467,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 243507810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243507810
Therefore, the GCF of Fractions 8/39,87/35,91/467,287/382 is 1/243507810
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 39,35,467,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,35,467,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,35,467,382) x common factors =1 x 1 = 1
LCM(39,35,467,382) = ( 39 × 35 × 467 × 382 ) / 1
LCM(39,35,467,382) = 243507810 / 1
LCM(39,35,467,382) = 243507810
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 8/39, 87/35, 91/467, 287/382?
Answer: GCF of Numerators as per given numbers 8/39, 87/35, 91/467, 287/382 is
GCF of Numerators i.e. for 8,87,91,287 is 1
LCM of denominators i.e. for 39,35,467,382 is 243507810.
Thus, GCF of Fractions is 1/243507810.Finally, GCF of Fractions for 8/39, 87/35, 91/467, 287/382 is 1/243507810.