Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6629/467,5767/806
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 6629,5767
Greatest Common Factor of Numerators i.e. GCF of 6629,5767 is 1 .
LCM of Denominators means LCM of 467,806 as per the given fractions.
LCM of 467,806 is 376402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6629,5767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1,7,947,6629
Factors of 5767
List of positive integer factors of 5767 that divides 5767 without a remainder.
1,73,79,5767
Greatest Common Factor
We found the factors 6629,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 6629,5767 is 1.
Lets's calculate LCM of 467,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 376402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376402
Therefore, the GCF of Fractions 6629/467,5767/806 is 1/376402
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 467,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,806) x common factors =1 x 1 = 1
LCM(467,806) = ( 467 × 806 ) / 1
LCM(467,806) = 376402 / 1
LCM(467,806) = 376402
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 6629/467, 5767/806?
Answer: GCF of Numerators as per given numbers 6629/467, 5767/806 is
GCF of Numerators i.e. for 6629,5767 is 1
LCM of denominators i.e. for 467,806 is 376402.
Thus, GCF of Fractions is 1/376402.Finally, GCF of Fractions for 6629/467, 5767/806 is 1/376402.