Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1011/381,4657/725
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 1011,4657
Greatest Common Factor of Numerators i.e. GCF of 1011,4657 is 1 .
LCM of Denominators means LCM of 381,725 as per the given fractions.
LCM of 381,725 is 276225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1011,4657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1,3,337,1011
Factors of 4657
List of positive integer factors of 4657 that divides 4657 without a remainder.
1,4657
Greatest Common Factor
We found the factors 1011,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 1011,4657 is 1.
Lets's calculate LCM of 381,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 276225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276225
Therefore, the GCF of Fractions 1011/381,4657/725 is 1/276225
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 381,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,725) x common factors =1 x 1 = 1
LCM(381,725) = ( 381 × 725 ) / 1
LCM(381,725) = 276225 / 1
LCM(381,725) = 276225
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 1011/381, 4657/725?
Answer: GCF of Numerators as per given numbers 1011/381, 4657/725 is
GCF of Numerators i.e. for 1011,4657 is 1
LCM of denominators i.e. for 381,725 is 276225.
Thus, GCF of Fractions is 1/276225.Finally, GCF of Fractions for 1011/381, 4657/725 is 1/276225.