Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8612/83,6724/797
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 8612,6724
Greatest Common Factor of Numerators i.e. GCF of 8612,6724 is 4 .
LCM of Denominators means LCM of 83,797 as per the given fractions.
LCM of 83,797 is 66151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8612,6724
2 | 8612, 6724 |
2 | 4306, 3362 |
2153, 1681 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8612
List of positive integer factors of 8612 that divides 8612 without a remainder.
1,2,4,2153,4306,8612
Factors of 6724
List of positive integer factors of 6724 that divides 6724 without a remainder.
1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 8612,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,6724 is 4.
Lets's calculate LCM of 83,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 66151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66151
Therefore, the GCF of Fractions 8612/83,6724/797 is 4/66151
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 83,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,797) x common factors =1 x 1 = 1
LCM(83,797) = ( 83 × 797 ) / 1
LCM(83,797) = 66151 / 1
LCM(83,797) = 66151
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 8612/83, 6724/797?
Answer: GCF of Numerators as per given numbers 8612/83, 6724/797 is
GCF of Numerators i.e. for 8612,6724 is 4
LCM of denominators i.e. for 83,797 is 66151.
Thus, GCF of Fractions is 4/66151.Finally, GCF of Fractions for 8612/83, 6724/797 is 4/66151.