Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7986/446,7082/6051
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 7986,7082
Greatest Common Factor of Numerators i.e. GCF of 7986,7082 is 2 .
LCM of Denominators means LCM of 446,6051 as per the given fractions.
LCM of 446,6051 is 2698746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7986,7082
2 | 7986, 7082 |
3993, 3541 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7986
List of positive integer factors of 7986 that divides 7986 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Factors of 7082
List of positive integer factors of 7082 that divides 7082 without a remainder.
1,2,3541,7082
Greatest Common Factor
We found the factors 7986,7082 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,7082 is 2.
Lets's calculate LCM of 446,6051
Given numbers has no common factors except 1. So, there LCM is their product i.e 2698746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2698746
Therefore, the GCF of Fractions 7986/446,7082/6051 is 2/2698746
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 446,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,6051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,6051) x common factors =1 x 1 = 1
LCM(446,6051) = ( 446 × 6051 ) / 1
LCM(446,6051) = 2698746 / 1
LCM(446,6051) = 2698746
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 7986/446, 7082/6051?
Answer: GCF of Numerators as per given numbers 7986/446, 7082/6051 is
GCF of Numerators i.e. for 7986,7082 is 2
LCM of denominators i.e. for 446,6051 is 2698746.
Thus, GCF of Fractions is 2/2698746.Finally, GCF of Fractions for 7986/446, 7082/6051 is 2/2698746.