Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3590/419,8953/5318
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 3590,8953
Greatest Common Factor of Numerators i.e. GCF of 3590,8953 is 1 .
LCM of Denominators means LCM of 419,5318 as per the given fractions.
LCM of 419,5318 is 2228242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3590,8953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3590
List of positive integer factors of 3590 that divides 3590 without a remainder.
1,2,5,10,359,718,1795,3590
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1,7,1279,8953
Greatest Common Factor
We found the factors 3590,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,8953 is 1.
Lets's calculate LCM of 419,5318
Given numbers has no common factors except 1. So, there LCM is their product i.e 2228242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2228242
Therefore, the GCF of Fractions 3590/419,8953/5318 is 1/2228242
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 419,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,5318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,5318) x common factors =1 x 1 = 1
LCM(419,5318) = ( 419 × 5318 ) / 1
LCM(419,5318) = 2228242 / 1
LCM(419,5318) = 2228242
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 3590/419, 8953/5318?
Answer: GCF of Numerators as per given numbers 3590/419, 8953/5318 is
GCF of Numerators i.e. for 3590,8953 is 1
LCM of denominators i.e. for 419,5318 is 2228242.
Thus, GCF of Fractions is 1/2228242.Finally, GCF of Fractions for 3590/419, 8953/5318 is 1/2228242.