Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6644/650,7881/484
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 6644,7881
Greatest Common Factor of Numerators i.e. GCF of 6644,7881 is 1 .
LCM of Denominators means LCM of 650,484 as per the given fractions.
LCM of 650,484 is 157300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6644,7881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6644
List of positive integer factors of 6644 that divides 6644 without a remainder.
1,2,4,11,22,44,151,302,604,1661,3322,6644
Factors of 7881
List of positive integer factors of 7881 that divides 7881 without a remainder.
1,3,37,71,111,213,2627,7881
Greatest Common Factor
We found the factors 6644,7881 . The biggest common factor number is the GCF number.
So the greatest common factor 6644,7881 is 1.
Lets's calculate LCM of 650,484
2 | 650, 484 |
325, 242 |
∴ So the LCM of the given numbers is 2 x 325 x 242 = 157300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157300
Therefore, the GCF of Fractions 6644/650,7881/484 is 1/157300
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 650,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,484) x common factors =2 x 1 = 2
LCM(650,484) = ( 650 × 484 ) / 2
LCM(650,484) = 314600 / 2
LCM(650,484) = 157300
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 6644/650, 7881/484?
Answer: GCF of Numerators as per given numbers 6644/650, 7881/484 is
GCF of Numerators i.e. for 6644,7881 is 1
LCM of denominators i.e. for 650,484 is 157300.
Thus, GCF of Fractions is 1/157300.Finally, GCF of Fractions for 6644/650, 7881/484 is 1/157300.