Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/363,5330/731
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 391,5330
Greatest Common Factor of Numerators i.e. GCF of 391,5330 is 1 .
LCM of Denominators means LCM of 363,731 as per the given fractions.
LCM of 363,731 is 265353 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 391,5330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Greatest Common Factor
We found the factors 391,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 391,5330 is 1.
Lets's calculate LCM of 363,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 265353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265353
Therefore, the GCF of Fractions 391/363,5330/731 is 1/265353
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 363,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,731) x common factors =1 x 1 = 1
LCM(363,731) = ( 363 × 731 ) / 1
LCM(363,731) = 265353 / 1
LCM(363,731) = 265353
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 391/363, 5330/731?
Answer: GCF of Numerators as per given numbers 391/363, 5330/731 is
GCF of Numerators i.e. for 391,5330 is 1
LCM of denominators i.e. for 363,731 is 265353.
Thus, GCF of Fractions is 1/265353.Finally, GCF of Fractions for 391/363, 5330/731 is 1/265353.