Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6446/207,8073/9830
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 6446,8073
Greatest Common Factor of Numerators i.e. GCF of 6446,8073 is 1 .
LCM of Denominators means LCM of 207,9830 as per the given fractions.
LCM of 207,9830 is 2034810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6446,8073
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6446
List of positive integer factors of 6446 that divides 6446 without a remainder.
1,2,11,22,293,586,3223,6446
Factors of 8073
List of positive integer factors of 8073 that divides 8073 without a remainder.
1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 6446,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 6446,8073 is 1.
Lets's calculate LCM of 207,9830
Given numbers has no common factors except 1. So, there LCM is their product i.e 2034810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2034810
Therefore, the GCF of Fractions 6446/207,8073/9830 is 1/2034810
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 207,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,9830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,9830) x common factors =1 x 1 = 1
LCM(207,9830) = ( 207 × 9830 ) / 1
LCM(207,9830) = 2034810 / 1
LCM(207,9830) = 2034810
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 6446/207, 8073/9830?
Answer: GCF of Numerators as per given numbers 6446/207, 8073/9830 is
GCF of Numerators i.e. for 6446,8073 is 1
LCM of denominators i.e. for 207,9830 is 2034810.
Thus, GCF of Fractions is 1/2034810.Finally, GCF of Fractions for 6446/207, 8073/9830 is 1/2034810.