Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8050/982,6312/6099
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 8050,6312
Greatest Common Factor of Numerators i.e. GCF of 8050,6312 is 2 .
LCM of Denominators means LCM of 982,6099 as per the given fractions.
LCM of 982,6099 is 5989218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8050,6312
2 | 8050, 6312 |
4025, 3156 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8050
List of positive integer factors of 8050 that divides 8050 without a remainder.
1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Factors of 6312
List of positive integer factors of 6312 that divides 6312 without a remainder.
1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Greatest Common Factor
We found the factors 8050,6312 . The biggest common factor number is the GCF number.
So the greatest common factor 8050,6312 is 2.
Lets's calculate LCM of 982,6099
Given numbers has no common factors except 1. So, there LCM is their product i.e 5989218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5989218
Therefore, the GCF of Fractions 8050/982,6312/6099 is 2/5989218
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 982,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,6099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,6099) x common factors =1 x 1 = 1
LCM(982,6099) = ( 982 × 6099 ) / 1
LCM(982,6099) = 5989218 / 1
LCM(982,6099) = 5989218
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 8050/982, 6312/6099?
Answer: GCF of Numerators as per given numbers 8050/982, 6312/6099 is
GCF of Numerators i.e. for 8050,6312 is 2
LCM of denominators i.e. for 982,6099 is 5989218.
Thus, GCF of Fractions is 2/5989218.Finally, GCF of Fractions for 8050/982, 6312/6099 is 2/5989218.