Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/95,267/2481
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 412,267
Greatest Common Factor of Numerators i.e. GCF of 412,267 is 1 .
LCM of Denominators means LCM of 95,2481 as per the given fractions.
LCM of 95,2481 is 235695 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 412,267 . The biggest common factor number is the GCF number.
So the greatest common factor 412,267 is 1.
Lets's calculate LCM of 95,2481
Given numbers has no common factors except 1. So, there LCM is their product i.e 235695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235695
Therefore, the GCF of Fractions 412/95,267/2481 is 1/235695
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 95,2481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,2481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,2481) x common factors =1 x 1 = 1
LCM(95,2481) = ( 95 × 2481 ) / 1
LCM(95,2481) = 235695 / 1
LCM(95,2481) = 235695
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 412/95, 267/2481?
Answer: GCF of Numerators as per given numbers 412/95, 267/2481 is
GCF of Numerators i.e. for 412,267 is 1
LCM of denominators i.e. for 95,2481 is 235695.
Thus, GCF of Fractions is 1/235695.Finally, GCF of Fractions for 412/95, 267/2481 is 1/235695.