Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/51,813/7133
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 397,813
Greatest Common Factor of Numerators i.e. GCF of 397,813 is 1 .
LCM of Denominators means LCM of 51,7133 as per the given fractions.
LCM of 51,7133 is 363783 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 397,813 . The biggest common factor number is the GCF number.
So the greatest common factor 397,813 is 1.
Lets's calculate LCM of 51,7133
Given numbers has no common factors except 1. So, there LCM is their product i.e 363783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363783
Therefore, the GCF of Fractions 397/51,813/7133 is 1/363783
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 51,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,7133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,7133) x common factors =1 x 1 = 1
LCM(51,7133) = ( 51 × 7133 ) / 1
LCM(51,7133) = 363783 / 1
LCM(51,7133) = 363783
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 397/51, 813/7133?
Answer: GCF of Numerators as per given numbers 397/51, 813/7133 is
GCF of Numerators i.e. for 397,813 is 1
LCM of denominators i.e. for 51,7133 is 363783.
Thus, GCF of Fractions is 1/363783.Finally, GCF of Fractions for 397/51, 813/7133 is 1/363783.