Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4647/934,6110/275
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 4647,6110
Greatest Common Factor of Numerators i.e. GCF of 4647,6110 is 1 .
LCM of Denominators means LCM of 934,275 as per the given fractions.
LCM of 934,275 is 256850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4647,6110
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4647
List of positive integer factors of 4647 that divides 4647 without a remainder.
1,3,1549,4647
Factors of 6110
List of positive integer factors of 6110 that divides 6110 without a remainder.
1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110
Greatest Common Factor
We found the factors 4647,6110 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,6110 is 1.
Lets's calculate LCM of 934,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 256850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256850
Therefore, the GCF of Fractions 4647/934,6110/275 is 1/256850
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 934,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,275) x common factors =1 x 1 = 1
LCM(934,275) = ( 934 × 275 ) / 1
LCM(934,275) = 256850 / 1
LCM(934,275) = 256850
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 4647/934, 6110/275?
Answer: GCF of Numerators as per given numbers 4647/934, 6110/275 is
GCF of Numerators i.e. for 4647,6110 is 1
LCM of denominators i.e. for 934,275 is 256850.
Thus, GCF of Fractions is 1/256850.Finally, GCF of Fractions for 4647/934, 6110/275 is 1/256850.