Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/41,21/91,39/729,680/814
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 8,21,39,680
Greatest Common Factor of Numerators i.e. GCF of 8,21,39,680 is 1 .
LCM of Denominators means LCM of 41,91,729,814 as per the given fractions.
LCM of 41,91,729,814 is 2213997786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,21,39,680
∴ 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 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 8,21,39,680 . The biggest common factor number is the GCF number.
So the greatest common factor 8,21,39,680 is 1.
Lets's calculate LCM of 41,91,729,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 2213997786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2213997786
Therefore, the GCF of Fractions 8/41,21/91,39/729,680/814 is 1/2213997786
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 41,91,729,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,91,729,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,91,729,814) x common factors =1 x 1 = 1
LCM(41,91,729,814) = ( 41 × 91 × 729 × 814 ) / 1
LCM(41,91,729,814) = 2213997786 / 1
LCM(41,91,729,814) = 2213997786
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 8/41, 21/91, 39/729, 680/814?
Answer: GCF of Numerators as per given numbers 8/41, 21/91, 39/729, 680/814 is
GCF of Numerators i.e. for 8,21,39,680 is 1
LCM of denominators i.e. for 41,91,729,814 is 2213997786.
Thus, GCF of Fractions is 1/2213997786.Finally, GCF of Fractions for 8/41, 21/91, 39/729, 680/814 is 1/2213997786.