Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4591/793,6330/313
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 4591,6330
Greatest Common Factor of Numerators i.e. GCF of 4591,6330 is 1 .
LCM of Denominators means LCM of 793,313 as per the given fractions.
LCM of 793,313 is 248209 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4591,6330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4591
List of positive integer factors of 4591 that divides 4591 without a remainder.
1,4591
Factors of 6330
List of positive integer factors of 6330 that divides 6330 without a remainder.
1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Greatest Common Factor
We found the factors 4591,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 4591,6330 is 1.
Lets's calculate LCM of 793,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 248209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248209
Therefore, the GCF of Fractions 4591/793,6330/313 is 1/248209
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 793,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,313) x common factors =1 x 1 = 1
LCM(793,313) = ( 793 × 313 ) / 1
LCM(793,313) = 248209 / 1
LCM(793,313) = 248209
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 4591/793, 6330/313?
Answer: GCF of Numerators as per given numbers 4591/793, 6330/313 is
GCF of Numerators i.e. for 4591,6330 is 1
LCM of denominators i.e. for 793,313 is 248209.
Thus, GCF of Fractions is 1/248209.Finally, GCF of Fractions for 4591/793, 6330/313 is 1/248209.