Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5381/487,6490/966
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 5381,6490
Greatest Common Factor of Numerators i.e. GCF of 5381,6490 is 1 .
LCM of Denominators means LCM of 487,966 as per the given fractions.
LCM of 487,966 is 470442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5381,6490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5381
List of positive integer factors of 5381 that divides 5381 without a remainder.
1,5381
Factors of 6490
List of positive integer factors of 6490 that divides 6490 without a remainder.
1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 5381,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,6490 is 1.
Lets's calculate LCM of 487,966
Given numbers has no common factors except 1. So, there LCM is their product i.e 470442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470442
Therefore, the GCF of Fractions 5381/487,6490/966 is 1/470442
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 487,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,966) x common factors =1 x 1 = 1
LCM(487,966) = ( 487 × 966 ) / 1
LCM(487,966) = 470442 / 1
LCM(487,966) = 470442
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 5381/487, 6490/966?
Answer: GCF of Numerators as per given numbers 5381/487, 6490/966 is
GCF of Numerators i.e. for 5381,6490 is 1
LCM of denominators i.e. for 487,966 is 470442.
Thus, GCF of Fractions is 1/470442.Finally, GCF of Fractions for 5381/487, 6490/966 is 1/470442.