Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4397/51,3950/410
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 4397,3950
Greatest Common Factor of Numerators i.e. GCF of 4397,3950 is 1 .
LCM of Denominators means LCM of 51,410 as per the given fractions.
LCM of 51,410 is 20910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4397,3950
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4397
List of positive integer factors of 4397 that divides 4397 without a remainder.
1,4397
Factors of 3950
List of positive integer factors of 3950 that divides 3950 without a remainder.
1,2,5,10,25,50,79,158,395,790,1975,3950
Greatest Common Factor
We found the factors 4397,3950 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,3950 is 1.
Lets's calculate LCM of 51,410
Given numbers has no common factors except 1. So, there LCM is their product i.e 20910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20910
Therefore, the GCF of Fractions 4397/51,3950/410 is 1/20910
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 51,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,410) x common factors =1 x 1 = 1
LCM(51,410) = ( 51 × 410 ) / 1
LCM(51,410) = 20910 / 1
LCM(51,410) = 20910
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 4397/51, 3950/410?
Answer: GCF of Numerators as per given numbers 4397/51, 3950/410 is
GCF of Numerators i.e. for 4397,3950 is 1
LCM of denominators i.e. for 51,410 is 20910.
Thus, GCF of Fractions is 1/20910.Finally, GCF of Fractions for 4397/51, 3950/410 is 1/20910.